656608272000 has 1024 divisors, whose sum is σ = 2411943505920. Its totient is φ = 157286400000.

The previous prime is 656608271953. The next prime is 656608272041. The reversal of 656608272000 is 272806656.

It is a super-2 number, since 2×656608272000² (a number of 24 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 2554895872 + ... + 2554896128.

It is an arithmetic number, because the mean of its divisors is an integer number (2355413580).

Almost surely, 2^656608272000 is an apocalyptic number.

656608272000 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 656608272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205971752960).

656608272000 is an abundant number, since it is smaller than the sum of its proper divisors (1755335233920).

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

656608272000 is a wasteful number, since it uses less digits than its factorization.

656608272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 656608272000 in words is "six hundred fifty-six billion, six hundred eight million, two hundred seventy-two thousand".