256744122720 has 96 divisors (see below), whose sum is σ = 810365472000. Its totient is φ = 68327831040.

The previous prime is 256744122707. The next prime is 256744122727. The reversal of 256744122720 is 27221447652.

It is a happy number.

256744122720 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256744122727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296436 + ... + 775475.

It is an arithmetic number, because the mean of its divisors is an integer number (8441307000).

Almost surely, 2^256744122720 is an apocalyptic number.

256744122720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256744122720 is an abundant number, since it is smaller than the sum of its proper divisors (553621349280).

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

256744122720 is a wasteful number, since it uses less digits than its factorization.

256744122720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072428 (or 1072420 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 256744122720 in words is "two hundred fifty-six billion, seven hundred forty-four million, one hundred twenty-two thousand, seven hundred twenty".