code: def is_int64_overflow_possible(shape: Shape) -> bool:
      the_prod = 1
      for x in shape:
          the_prod *= int(x)
  
      return the_prod >= lib.i8max
  
imports: from __future__ import annotations
  from collections import defaultdict
  from typing import TYPE_CHECKING, Callable, DefaultDict, cast
  import numpy
  from pandas._libs import algos, hashtable, lib
  from pandas._libs.hashtable import unique_label_indices
  from pandas.core.dtypes.common import ensure_int64, ensure_platform_int
  from pandas.core.dtypes.generic import ABCMultiIndex, ABCRangeIndex
  from pandas.core.dtypes.missing import isna
  from pandas.core.construction import extract_array
label_desc: Use image node_id 4 for calling a global function with example usage: is_int64_overflow_possible(shape) and returns: unknown