656985587298768 has 720 divisors, whose sum is σ = 2388392053430656. Its totient is φ = 170430266004480.

The previous prime is 656985587298731. The next prime is 656985587298811. The reversal of 656985587298768 is 867892785589656.

656985587298768 is a `hidden beast` number, since 6 + 5 + 6 + 9 + 8 + 5 + 587 + 2 + 9 + 8 + 7 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 582158055 + ... + 583285497.

Almost surely, 2^{656985587298768} 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 656985587298768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194196026715328).

656985587298768 is an abundant number, since it is smaller than the sum of its proper divisors (1731406466131888).

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

656985587298768 is a wasteful number, since it uses less digits than its factorization.

656985587298768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127556 (or 1127529 counting only the distinct ones).

The product of its digits is 877879296000, while the sum is 99.

The spelling of 656985587298768 in words is "six hundred fifty-six trillion, nine hundred eighty-five billion, five hundred eighty-seven million, two hundred ninety-eight thousand, seven hundred sixty-eight".