code: def test_groupby_prod_with_int64_dtype():
      # GH#46573
      data = [
          [1, 11],
          [1, 41],
          [1, 17],
          [1, 37],
          [1, 7],
          [1, 29],
          [1, 31],
          [1, 2],
          [1, 3],
          [1, 43],
          [1, 5],
          [1, 47],
          [1, 19],
          [1, 88],
      ]
      df = DataFrame(data, columns=["A", "B"], dtype="int64")
      result = df.groupby(["A"]).prod().reset_index()
      expected = DataFrame(
          {"A": [1], "B": [180970905912331920]}, dtype="int64"
      )
      tm.assert_frame_equal(result, expected)
  
imports: import builtins
  import datetime
  from string import ascii_lowercase
  import numpy
  import pytest
  from pandas._libs.tslibs import iNaT
  import pandas
  from pandas import DataFrame, MultiIndex, Series, Timestamp, date_range, isna
  import pandas._testing
  from pandas.util import _test_decorators
label_desc: Use image node_id 50 for calling a global function with example usage: test_groupby_prod_with_int64_dtype() without return types