256788775464 has 192 divisors, whose sum is σ = 724725523200. Its totient is φ = 75367024128.

The previous prime is 256788775427. The next prime is 256788775519. The reversal of 256788775464 is 464577887652.

256788775464 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 (69).

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 47 ways as a sum of consecutive naturals, for example, 65522097 + ... + 65526015.

It is an arithmetic number, because the mean of its divisors is an integer number (3774612100).

Almost surely, 2^256788775464 is an apocalyptic number.

256788775464 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 256788775464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362362761600).

256788775464 is an abundant number, since it is smaller than the sum of its proper divisors (467936747736).

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

256788775464 is a wasteful number, since it uses less digits than its factorization.

256788775464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4357 counting only the distinct ones).

The product of its digits is 632217600, while the sum is 69.

The spelling of 256788775464 in words is "two hundred fifty-six billion, seven hundred eighty-eight million, seven hundred seventy-five thousand, four hundred sixty-four".