256724536320 has 880 divisors, whose sum is σ = 1059165093888. Its totient is φ = 58246594560.

The previous prime is 256724536309. The next prime is 256724536333. The reversal of 256724536320 is 23635427652.

256724536320 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 2 + 4 + 5 + 3 + 632 + 0 = 666.

256724536320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 554480409 + ... + 554480871.

Almost surely, 2^256724536320 is an apocalyptic number.

256724536320 is a gapful number since it is divisible by the number (20) 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 256724536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529582546944).

256724536320 is an abundant number, since it is smaller than the sum of its proper divisors (802440557568).

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

256724536320 is a wasteful number, since it uses less digits than its factorization.

256724536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 256724536320 in words is "two hundred fifty-six billion, seven hundred twenty-four million, five hundred thirty-six thousand, three hundred twenty".