256679444320 has 288 divisors, whose sum is σ = 692014482432. Its totient is φ = 89750808576.

The previous prime is 256679444233. The next prime is 256679444369. The reversal of 256679444320 is 23444976652.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64055757 + ... + 64059763.

It is an arithmetic number, because the mean of its divisors is an integer number (2402828064).

Almost surely, 2^256679444320 is an apocalyptic number.

256679444320 is a gapful number since it is divisible by the number (20) 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 256679444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346007241216).

256679444320 is an abundant number, since it is smaller than the sum of its proper divisors (435335038112).

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

256679444320 is a wasteful number, since it uses less digits than its factorization.

256679444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 52.

The spelling of 256679444320 in words is "two hundred fifty-six billion, six hundred seventy-nine million, four hundred forty-four thousand, three hundred twenty".