256584645772 has 384 divisors, whose sum is σ = 616222494720. Its totient is φ = 90727464960.

The previous prime is 256584645763. The next prime is 256584645773. The reversal of 256584645772 is 277546485652.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (112896000) is a multiple of the sum of its prime factors (441).

It is a self number, because there is not a number n which added to its sum of digits gives 256584645772.

It is not an unprimeable number, because it can be changed into a prime (256584645773) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1130328723 + ... + 1130328949.

It is an arithmetic number, because the mean of its divisors is an integer number (1604746080).

Almost surely, 2^256584645772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256584645772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308111247360).

256584645772 is an abundant number, since it is smaller than the sum of its proper divisors (359637848948).

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

256584645772 is a wasteful number, since it uses less digits than its factorization.

256584645772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 61.

The spelling of 256584645772 in words is "two hundred fifty-six billion, five hundred eighty-four million, six hundred forty-five thousand, seven hundred seventy-two".