A method and apparatus for accumulating and storing respective access counts of a plurality of word lines in a memory module are provided. The method may include: within a memory bank positioned in the memory module, providing a plurality of extraordinary storage cells coupled to the plurality of word lines; and utilizing the plurality of extraordinary storage cells to accumulate and store the respective access counts of the plurality of word lines, wherein multiple sets of extraordinary storage cells in the plurality of extraordinary storage cells correspond to the plurality of word lines, respectively.