256724100864 has 1080 divisors, whose sum is σ = 985243843584. Its totient is φ = 65052979200.

The previous prime is 256724100833. The next prime is 256724100949. The reversal of 256724100864 is 468001427652.

256724100864 is a `hidden beast` number, since 2 + 567 + 2 + 4 + 1 + 0 + 0 + 86 + 4 = 666.

256724100864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 825479269 + ... + 825479579.

Almost surely, 2^256724100864 is an apocalyptic number.

256724100864 is a gapful number since it is divisible by the number (24) 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 256724100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492621921792).

256724100864 is an abundant number, since it is smaller than the sum of its proper divisors (728519742720).

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

256724100864 is a wasteful number, since it uses less digits than its factorization.

256724100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 256724100864 in words is "two hundred fifty-six billion, seven hundred twenty-four million, one hundred thousand, eight hundred sixty-four".