256837414680 has 640 divisors, whose sum is σ = 1094575680000. Its totient is φ = 52461250560.

The previous prime is 256837414679. The next prime is 256837414753. The reversal of 256837414680 is 86414738652.

It is a happy number.

256837414680 is a `hidden beast` number, since 2 + 56 + 8 + 374 + 146 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14710596 + ... + 14728044.

It is an arithmetic number, because the mean of its divisors is an integer number (1710274500).

Almost surely, 2^256837414680 is an apocalyptic number.

256837414680 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 256837414680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547287840000).

256837414680 is an abundant number, since it is smaller than the sum of its proper divisors (837738265320).

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

256837414680 is a wasteful number, since it uses less digits than its factorization.

256837414680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17549 (or 17536 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 256837414680 in words is "two hundred fifty-six billion, eight hundred thirty-seven million, four hundred fourteen thousand, six hundred eighty".