256647640300 has 144 divisors (see below), whose sum is σ = 571162505760. Its totient is φ = 100075530240.

The previous prime is 256647640213. The next prime is 256647640331. The reversal of 256647640300 is 3046746652.

256647640300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256647640300² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 257419402 + ... + 257420398.

It is an arithmetic number, because the mean of its divisors is an integer number (3966406290).

Almost surely, 2^256647640300 is an apocalyptic number.

256647640300 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 256647640300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285581252880).

256647640300 is an abundant number, since it is smaller than the sum of its proper divisors (314514865460).

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

256647640300 is a wasteful number, since it uses less digits than its factorization.

256647640300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 256647640300 in words is "two hundred fifty-six billion, six hundred forty-seven million, six hundred forty thousand, three hundred".