687064551264 has 960 divisors, whose sum is σ = 2559419352000. Its totient is φ = 178209497088.

The previous prime is 687064551209. The next prime is 687064551293. The reversal of 687064551264 is 462155460786.

687064551264 is a `hidden beast` number, since 6 + 8 + 7 + 0 + 64 + 5 + 512 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 687064551264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1968666162 + ... + 1968666510.

It is an arithmetic number, because the mean of its divisors is an integer number (2666061825).

Almost surely, 2^687064551264 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 687064551264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279709676000).

687064551264 is an abundant number, since it is smaller than the sum of its proper divisors (1872354800736).

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

687064551264 is a wasteful number, since it uses less digits than its factorization.

687064551264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 687064551264 in words is "six hundred eighty-seven billion, sixty-four million, five hundred fifty-one thousand, two hundred sixty-four".