256742707467567 has 16 divisors (see below), whose sum is σ = 342420438896640. Its totient is φ = 171113394429600.

The previous prime is 256742707467509. The next prime is 256742707467607. The reversal of 256742707467567 is 765764707247652.

It is not a de Polignac number, because 256742707467567 - 2²² = 256742703273263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256742707465567) 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, 268352034 + ... + 269307072.

It is an arithmetic number, because the mean of its divisors is an integer number (21401277431040).

Almost surely, 2^{256742707467567} is an apocalyptic number.

256742707467567 is a deficient number, since it is larger than the sum of its proper divisors (85677731429073).

256742707467567 is a wasteful number, since it uses less digits than its factorization.

256742707467567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980294.

The product of its (nonzero) digits is 5808499200, while the sum is 75.

The spelling of 256742707467567 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-seven".