256644625360 has 80 divisors (see below), whose sum is σ = 610115075136. Its totient is φ = 100375179264.

The previous prime is 256644625357. The next prime is 256644625387. The reversal of 256644625360 is 63526446652.

256644625360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 444847 + ... + 843313.

Almost surely, 2^256644625360 is an apocalyptic number.

256644625360 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 256644625360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305057537568).

256644625360 is an abundant number, since it is smaller than the sum of its proper divisors (353470449776).

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

256644625360 is a wasteful number, since it uses less digits than its factorization.

256644625360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398660 (or 398654 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 256644625360 in words is "two hundred fifty-six billion, six hundred forty-four million, six hundred twenty-five thousand, three hundred sixty".