256742707467568 has 40 divisors (see below), whose sum is σ = 568566029008640. Its totient is φ = 110020139956800.

The previous prime is 256742707467509. The next prime is 256742707467607. The reversal of 256742707467568 is 865764707247652.

It is a junction number, because it is equal to n+sod(n) for n = 256742707467494 and 256742707467503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128682258 + ... + 130662193.

It is an arithmetic number, because the mean of its divisors is an integer number (14214150725216).

Almost surely, 2^{256742707467568} is an apocalyptic number.

256742707467568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256742707467568 is an abundant number, since it is smaller than the sum of its proper divisors (311823321541072).

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

256742707467568 is a wasteful number, since it uses less digits than its factorization.

256742707467568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259353305 (or 259353299 counting only the distinct ones).

The product of its (nonzero) digits is 6638284800, while the sum is 76.

The spelling of 256742707467568 in words is "two hundred fifty-six trillion, seven hundred forty-two billion, seven hundred seven million, four hundred sixty-seven thousand, five hundred sixty-eight".