687288673688256 has 168 divisors, whose sum is σ = 2043010786222224. Its totient is φ = 229089569587200.

The previous prime is 687288673688189. The next prime is 687288673688297. The reversal of 687288673688256 is 652886376882786.

687288673688256 is a `hidden beast` number, since 6 + 8 + 7 + 288 + 6 + 73 + 6 + 8 + 8 + 256 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549932176 + ... + 551180528.

It is an arithmetic number, because the mean of its divisors is an integer number (12160778489418).

Almost surely, 2^{687288673688256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687288673688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021505393111112).

687288673688256 is an abundant number, since it is smaller than the sum of its proper divisors (1355722112533968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

687288673688256 is a wasteful number, since it uses less digits than its factorization.

687288673688256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283781 (or 1283759 counting only the distinct ones).

The product of its digits is 124853944320, while the sum is 90.

The spelling of 687288673688256 in words is "six hundred eighty-seven trillion, two hundred eighty-eight billion, six hundred seventy-three million, six hundred eighty-eight thousand, two hundred fifty-six".