diff --git a/stdlib/mmap.pyi b/stdlib/mmap.pyi
index c9b8358cd..261a2bfdf 100644
--- a/stdlib/mmap.pyi
+++ b/stdlib/mmap.pyi
@@ -1,38 +1,39 @@
+import os
 import sys
 from _typeshed import ReadableBuffer, Unused
 from collections.abc import Iterator
 from typing import Final, Literal, NoReturn, overload
 from typing_extensions import Self
 
-ACCESS_DEFAULT: int
-ACCESS_READ: int
-ACCESS_WRITE: int
-ACCESS_COPY: int
+ACCESS_DEFAULT: Final = 0
+ACCESS_READ: Final = 1
+ACCESS_WRITE: Final = 2
+ACCESS_COPY: Final = 3
 
-ALLOCATIONGRANULARITY: int
+ALLOCATIONGRANULARITY: Final[int]
 
 if sys.platform == "linux":
-    MAP_DENYWRITE: int
-    MAP_EXECUTABLE: int
+    MAP_DENYWRITE: Final[int]
+    MAP_EXECUTABLE: Final[int]
     if sys.version_info >= (3, 10):
-        MAP_POPULATE: int
+        MAP_POPULATE: Final[int]
 if sys.version_info >= (3, 11) and sys.platform != "win32" and sys.platform != "darwin":
-    MAP_STACK: int
+    MAP_STACK: Final[int]
 
 if sys.platform != "win32":
-    MAP_ANON: int
-    MAP_ANONYMOUS: int
-    MAP_PRIVATE: int
-    MAP_SHARED: int
-    PROT_EXEC: int
-    PROT_READ: int
-    PROT_WRITE: int
+    MAP_ANON: Final[int]
+    MAP_ANONYMOUS: Final[int]
+    MAP_PRIVATE: Final[int]
+    MAP_SHARED: Final[int]
+    PROT_EXEC: Final[int]
+    PROT_READ: Final[int]
+    PROT_WRITE: Final[int]
 
-PAGESIZE: int
+PAGESIZE: Final[int]
 
 class mmap:
     if sys.platform == "win32":
-        def __init__(self, fileno: int, length: int, tagname: str | None = ..., access: int = ..., offset: int = ...) -> None: ...
+        def __init__(self, fileno: int, length: int, tagname: str | None = None, access: int = 0, offset: int = 0) -> None: ...
     else:
         if sys.version_info >= (3, 13):
             def __new__(
@@ -41,34 +42,38 @@ class mmap:
                 length: int,
                 flags: int = ...,
                 prot: int = ...,
-                access: int = ...,
-                offset: int = ...,
+                access: int = 0,
+                offset: int = 0,
                 *,
                 trackfd: bool = True,
             ) -> Self: ...
         else:
             def __new__(
-                cls, fileno: int, length: int, flags: int = ..., prot: int = ..., access: int = ..., offset: int = ...
+                cls, fileno: int, length: int, flags: int = ..., prot: int = ..., access: int = 0, offset: int = 0
             ) -> Self: ...
 
     def close(self) -> None: ...
-    def flush(self, offset: int = ..., size: int = ...) -> None: ...
+    def flush(self, offset: int = 0, size: int = ...) -> None: ...
     def move(self, dest: int, src: int, count: int) -> None: ...
     def read_byte(self) -> int: ...
     def readline(self) -> bytes: ...
     def resize(self, newsize: int) -> None: ...
-    def seek(self, pos: int, whence: int = ...) -> None: ...
+    if sys.platform != "win32":
+        def seek(self, pos: int, whence: Literal[0, 1, 2, 3, 4] = os.SEEK_SET) -> None: ...
+    else:
+        def seek(self, pos: int, whence: Literal[0, 1, 2] = os.SEEK_SET) -> None: ...
+
     def size(self) -> int: ...
     def tell(self) -> int: ...
     def write_byte(self, byte: int) -> None: ...
     def __len__(self) -> int: ...
     closed: bool
     if sys.platform != "win32":
-        def madvise(self, option: int, start: int = ..., length: int = ...) -> None: ...
+        def madvise(self, option: int, start: int = 0, length: int = ...) -> None: ...
 
     def find(self, sub: ReadableBuffer, start: int = ..., stop: int = ...) -> int: ...
     def rfind(self, sub: ReadableBuffer, start: int = ..., stop: int = ...) -> int: ...
-    def read(self, n: int | None = ...) -> bytes: ...
+    def read(self, n: int | None = None) -> bytes: ...
     def write(self, bytes: ReadableBuffer) -> int: ...
     @overload
     def __getitem__(self, key: int, /) -> int: ...
@@ -93,42 +98,42 @@ class mmap:
         def seekable(self) -> Literal[True]: ...
 
 if sys.platform != "win32":
-    MADV_NORMAL: int
-    MADV_RANDOM: int
-    MADV_SEQUENTIAL: int
-    MADV_WILLNEED: int
-    MADV_DONTNEED: int
-    MADV_FREE: int
+    MADV_NORMAL: Final[int]
+    MADV_RANDOM: Final[int]
+    MADV_SEQUENTIAL: Final[int]
+    MADV_WILLNEED: Final[int]
+    MADV_DONTNEED: Final[int]
+    MADV_FREE: Final[int]
 
 if sys.platform == "linux":
-    MADV_REMOVE: int
-    MADV_DONTFORK: int
-    MADV_DOFORK: int
-    MADV_HWPOISON: int
-    MADV_MERGEABLE: int
-    MADV_UNMERGEABLE: int
+    MADV_REMOVE: Final[int]
+    MADV_DONTFORK: Final[int]
+    MADV_DOFORK: Final[int]
+    MADV_HWPOISON: Final[int]
+    MADV_MERGEABLE: Final[int]
+    MADV_UNMERGEABLE: Final[int]
     # Seems like this constant is not defined in glibc.
     # See https://github.com/python/typeshed/pull/5360 for details
-    # MADV_SOFT_OFFLINE: int
-    MADV_HUGEPAGE: int
-    MADV_NOHUGEPAGE: int
-    MADV_DONTDUMP: int
-    MADV_DODUMP: int
+    # MADV_SOFT_OFFLINE: Final[int]
+    MADV_HUGEPAGE: Final[int]
+    MADV_NOHUGEPAGE: Final[int]
+    MADV_DONTDUMP: Final[int]
+    MADV_DODUMP: Final[int]
 
 # This Values are defined for FreeBSD but type checkers do not support conditions for these
 if sys.platform != "linux" and sys.platform != "darwin" and sys.platform != "win32":
-    MADV_NOSYNC: int
-    MADV_AUTOSYNC: int
-    MADV_NOCORE: int
-    MADV_CORE: int
-    MADV_PROTECT: int
+    MADV_NOSYNC: Final[int]
+    MADV_AUTOSYNC: Final[int]
+    MADV_NOCORE: Final[int]
+    MADV_CORE: Final[int]
+    MADV_PROTECT: Final[int]
 
 if sys.version_info >= (3, 10) and sys.platform == "darwin":
-    MADV_FREE_REUSABLE: int
-    MADV_FREE_REUSE: int
+    MADV_FREE_REUSABLE: Final[int]
+    MADV_FREE_REUSE: Final[int]
 
 if sys.version_info >= (3, 13) and sys.platform != "win32":
-    MAP_32BIT: Final = 32768
+    MAP_32BIT: Final[int]
 
 if sys.version_info >= (3, 13) and sys.platform == "darwin":
     MAP_NORESERVE: Final = 64
diff --git a/stdlib/os/__init__.pyi b/stdlib/os/__init__.pyi
index dd4479f90..4521d8240 100644
--- a/stdlib/os/__init__.pyi
+++ b/stdlib/os/__init__.pyi
@@ -597,12 +597,12 @@ if sys.platform == "darwin" and sys.version_info >= (3, 12):
     PRIO_DARWIN_PROCESS: int
     PRIO_DARWIN_THREAD: int
 
-SEEK_SET: int
-SEEK_CUR: int
-SEEK_END: int
+SEEK_SET: Final = 0
+SEEK_CUR: Final = 1
+SEEK_END: Final = 2
 if sys.platform != "win32":
-    SEEK_DATA: int
-    SEEK_HOLE: int
+    SEEK_DATA: Final = 3
+    SEEK_HOLE: Final = 4
 
 O_RDONLY: int
 O_WRONLY: int