687988862466048 has 3456 divisors, whose sum is σ = 2638257253632000. Its totient is φ = 176263829913600.

The previous prime is 687988862466023. The next prime is 687988862466083. The reversal of 687988862466048 is 840664268889786.

687988862466048 is a `hidden beast` number, since 6 + 8 + 7 + 9 + 8 + 88 + 62 + 466 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 666010514940 + ... + 666010515972.

It is an arithmetic number, because the mean of its divisors is an integer number (763384622000).

Almost surely, 2^{687988862466048} 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 687988862466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319128626816000).

687988862466048 is an abundant number, since it is smaller than the sum of its proper divisors (1950268391165952).

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

687988862466048 is a wasteful number, since it uses less digits than its factorization.

687988862466048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 85614133248, while the sum is 90.

The spelling of 687988862466048 in words is "six hundred eighty-seven trillion, nine hundred eighty-eight billion, eight hundred sixty-two million, four hundred sixty-six thousand, forty-eight".