868817585664 has 180 divisors, whose sum is σ = 2916849402324. Its totient is φ = 248233531392.

The previous prime is 868817585611. The next prime is 868817585687. The reversal of 868817585664 is 466585718868.

868817585664 is a `hidden beast` number, since 8 + 6 + 8 + 8 + 1 + 7 + 58 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 868817585592 and 868817585601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1698142 + ... + 2149725.

Almost surely, 2^868817585664 is an apocalyptic number.

868817585664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

868817585664 is an abundant number, since it is smaller than the sum of its proper divisors (2048031816660).

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

868817585664 is a wasteful number, since it uses less digits than its factorization.

868817585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847905 (or 3847879 counting only the distinct ones).

The product of its digits is 619315200, while the sum is 72.

The spelling of 868817585664 in words is "eight hundred sixty-eight billion, eight hundred seventeen million, five hundred eighty-five thousand, six hundred sixty-four".