656722080000 has 2160 divisors, whose sum is σ = 2975111659520. Its totient is φ = 141087744000.

The previous prime is 656722079989. The next prime is 656722080023. The reversal of 656722080000 is 80227656.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5171039937 + ... + 5171040063.

Almost surely, 2^656722080000 is an apocalyptic number.

656722080000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656722080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487555829760).

656722080000 is an abundant number, since it is smaller than the sum of its proper divisors (2318389579520).

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

656722080000 is an equidigital number, since it uses as much as digits as its factorization.

656722080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 656722080000 in words is "six hundred fifty-six billion, seven hundred twenty-two million, eighty thousand".