Avogadro's number represents the number of units in one mole of any substance. This has the value of 6.022 x 10^23 units / mole. This number can be used to convert the number of formula units or atoms or molecules into number of moles.
6.89 mol KOH (6.022 x 10^23 formula units / mole) = 4.1498 x 10^24 formula units
Therefore, the correct answer is option A.