256723979904 has 768 divisors, whose sum is σ = 941356368000. Its totient is φ = 68474585088.

The previous prime is 256723979879. The next prime is 256723979921. The reversal of 256723979904 is 409979327652.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 234879582 + ... + 234880674.

Almost surely, 2^256723979904 is an apocalyptic number.

256723979904 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 256723979904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470678184000).

256723979904 is an abundant number, since it is smaller than the sum of its proper divisors (684632388096).

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

256723979904 is a wasteful number, since it uses less digits than its factorization.

256723979904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 256723979904 in words is "two hundred fifty-six billion, seven hundred twenty-three million, nine hundred seventy-nine thousand, nine hundred four".