256740996574944 has 576 divisors, whose sum is σ = 918839376000000. Its totient is φ = 68841687932928.

The previous prime is 256740996574891. The next prime is 256740996574963. The reversal of 256740996574944 is 449475699047652.

256740996574944 is a `hidden beast` number, since 2 + 5 + 6 + 74 + 0 + 9 + 9 + 6 + 57 + 494 + 4 = 666.

256740996574944 is digitally balanced in base 2, 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 (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322547557 + ... + 323342555.

It is an arithmetic number, because the mean of its divisors is an integer number (1595207250000).

Almost surely, 2^{256740996574944} is an apocalyptic number.

256740996574944 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 256740996574944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459419688000000).

256740996574944 is an abundant number, since it is smaller than the sum of its proper divisors (662098379425056).

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

256740996574944 is a wasteful number, since it uses less digits than its factorization.

256740996574944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795397 (or 795377 counting only the distinct ones).

The product of its (nonzero) digits is 16460236800, while the sum is 81.

The spelling of 256740996574944 in words is "two hundred fifty-six trillion, seven hundred forty billion, nine hundred ninety-six million, five hundred seventy-four thousand, nine hundred forty-four".