256664363760 has 360 divisors, whose sum is σ = 1006887291696. Its totient is φ = 58420776960.

The previous prime is 256664363719. The next prime is 256664363771. The reversal of 256664363760 is 67363466652.

256664363760 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 (360).

It is a junction number, because it is equal to n+sod(n) for n = 256664363697 and 256664363706.

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 71 ways as a sum of consecutive naturals, for example, 8487387 + ... + 8517573.

Almost surely, 2^256664363760 is an apocalyptic number.

256664363760 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 256664363760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503443645848).

256664363760 is an abundant number, since it is smaller than the sum of its proper divisors (750222927936).

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

256664363760 is a wasteful number, since it uses less digits than its factorization.

256664363760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30461 (or 30445 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 256664363760 in words is "two hundred fifty-six billion, six hundred sixty-four million, three hundred sixty-three thousand, seven hundred sixty".