97807025664 has 560 divisors, whose sum is σ = 309143070720. Its totient is φ = 30860144640.

The previous prime is 97807025647. The next prime is 97807025683. The reversal of 97807025664 is 46652070879.

97807025664 is a `hidden beast` number, since 9 + 7 + 8 + 0 + 70 + 2 + 566 + 4 = 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 97807025664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 914084299 + ... + 914084405.

Almost surely, 2^97807025664 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 97807025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154571535360).

97807025664 is an abundant number, since it is smaller than the sum of its proper divisors (211336045056).

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

97807025664 is an equidigital number, since it uses as much as digits as its factorization.

97807025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 97807025664 in words is "ninety-seven billion, eight hundred seven million, twenty-five thousand, six hundred sixty-four".