632109272256 has 560 divisors, whose sum is σ = 2473574602752. Its totient is φ = 154524672000.

The previous prime is 632109272191. The next prime is 632109272303. The reversal of 632109272256 is 652272901236.

632109272256 is a `hidden beast` number, since 6 + 321 + 0 + 9 + 2 + 72 + 256 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6739281 + ... + 6832431.

Almost surely, 2^632109272256 is an apocalyptic number.

632109272256 is a gapful number since it is divisible by the number (66) 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 632109272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236787301376).

632109272256 is an abundant number, since it is smaller than the sum of its proper divisors (1841465330496).

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

632109272256 is a wasteful number, since it uses less digits than its factorization.

632109272256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93210 (or 93191 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 632109272256 in words is "six hundred thirty-two billion, one hundred nine million, two hundred seventy-two thousand, two hundred fifty-six".