656564253696 has 792 divisors, whose sum is σ = 2201584019544. Its totient is φ = 187705589760.

The previous prime is 656564253641. The next prime is 656564253727. The reversal of 656564253696 is 696352465656.

It is a happy number.

656564253696 is a `hidden beast` number, since 6 + 5 + 6 + 5 + 6 + 4 + 2 + 536 + 96 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 423020160000 + 233544093696 = 650400^2 + 483264^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3627426726 + ... + 3627426906.

Almost surely, 2^656564253696 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 656564253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100792009772).

656564253696 is an abundant number, since it is smaller than the sum of its proper divisors (1545019765848).

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

656564253696 is a wasteful number, since it uses less digits than its factorization.

656564253696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 353 counting only the distinct ones).

The product of its digits is 209952000, while the sum is 63.

The spelling of 656564253696 in words is "six hundred fifty-six billion, five hundred sixty-four million, two hundred fifty-three thousand, six hundred ninety-six".