256463786304 has 672 divisors, whose sum is σ = 884223580800. Its totient is φ = 73533588480.

The previous prime is 256463786281. The next prime is 256463786347. The reversal of 256463786304 is 403687364652.

256463786304 is a `hidden beast` number, since 2 + 56 + 463 + 78 + 63 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321786034 + ... + 321786830.

It is an arithmetic number, because the mean of its divisors is an integer number (1315808900).

Almost surely, 2^256463786304 is an apocalyptic number.

256463786304 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 256463786304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442111790400).

256463786304 is an abundant number, since it is smaller than the sum of its proper divisors (627759794496).

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

256463786304 is an equidigital number, since it uses as much as digits as its factorization.

256463786304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 256463786304 in words is "two hundred fifty-six billion, four hundred sixty-three million, seven hundred eighty-six thousand, three hundred four".