256684380672000 has 2496 divisors, whose sum is σ = 978536749252608. Its totient is φ = 59560427520000.

The previous prime is 256684380671993. The next prime is 256684380672001. The reversal of 256684380672000 is 276083486652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256684380672001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 316503551595 + ... + 316503552405.

It is an arithmetic number, because the mean of its divisors is an integer number (392041966848).

Almost surely, 2^{256684380672000} is an apocalyptic number.

256684380672000 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 256684380672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489268374626304).

256684380672000 is an abundant number, since it is smaller than the sum of its proper divisors (721852368580608).

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

256684380672000 is a wasteful number, since it uses less digits than its factorization.

256684380672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 256684380672000 in words is "two hundred fifty-six trillion, six hundred eighty-four billion, three hundred eighty million, six hundred seventy-two thousand".