256804688784 has 120 divisors (see below), whose sum is σ = 798335688960. Its totient is φ = 70842653952.

The previous prime is 256804688761. The next prime is 256804688809. The reversal of 256804688784 is 487886408652.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1814304 + ... + 1950719.

It is an arithmetic number, because the mean of its divisors is an integer number (6652797408).

Almost surely, 2^256804688784 is an apocalyptic number.

256804688784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256804688784 is an abundant number, since it is smaller than the sum of its proper divisors (541531000176).

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

256804688784 is a wasteful number, since it uses less digits than its factorization.

256804688784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765077 (or 3765064 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 66.

The spelling of 256804688784 in words is "two hundred fifty-six billion, eight hundred four million, six hundred eighty-eight thousand, seven hundred eighty-four".