8587505664 has 312 divisors, whose sum is σ = 26772381792. Its totient is φ = 2642411520.

The previous prime is 8587505659. The next prime is 8587505671. The reversal of 8587505664 is 4665057858.

8587505664 is a `hidden beast` number, since 8 + 5 + 8 + 75 + 0 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8587505664.

It is a congruent number.

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, 44494752 + ... + 44494944.

It is an arithmetic number, because the mean of its divisors is an integer number (85808916).

Almost surely, 2^8587505664 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 8587505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386190896).

8587505664 is an abundant number, since it is smaller than the sum of its proper divisors (18184876128).

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

8587505664 is a wasteful number, since it uses less digits than its factorization.

8587505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The square root of 8587505664 is about 92668.7955247072. The cubic root of 8587505664 is about 2047.8069479486.

The spelling of 8587505664 in words is "eight billion, five hundred eighty-seven million, five hundred five thousand, six hundred sixty-four".