256755104640 has 512 divisors, whose sum is σ = 959420160000. Its totient is φ = 64714235904.

The previous prime is 256755104629. The next prime is 256755104663. The reversal of 256755104640 is 46401557652.

256755104640 is a `hidden beast` number, since 2 + 5 + 6 + 75 + 510 + 4 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 232778329 + ... + 232779431.

It is an arithmetic number, because the mean of its divisors is an integer number (1873867500).

Almost surely, 2^256755104640 is an apocalyptic number.

256755104640 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 256755104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479710080000).

256755104640 is an abundant number, since it is smaller than the sum of its proper divisors (702665055360).

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

256755104640 is a wasteful number, since it uses less digits than its factorization.

256755104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

It can be divided in two parts, 25675 and 5104640, that added together give a palindrome (5130315).

The spelling of 256755104640 in words is "two hundred fifty-six billion, seven hundred fifty-five million, one hundred four thousand, six hundred forty".