664933280256 has 1280 divisors, whose sum is σ = 2485448064000. Its totient is φ = 174795522048.

The previous prime is 664933280233. The next prime is 664933280321. The reversal of 664933280256 is 652082339466.

It is a happy number.

664933280256 is a `hidden beast` number, since 6 + 64 + 9 + 3 + 328 + 0 + 256 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5884365256 + ... + 5884365368.

It is an arithmetic number, because the mean of its divisors is an integer number (1941756300).

Almost surely, 2^664933280256 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 664933280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242724032000).

664933280256 is an abundant number, since it is smaller than the sum of its proper divisors (1820514783744).

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

664933280256 is a wasteful number, since it uses less digits than its factorization.

664933280256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 664933280256 in words is "six hundred sixty-four billion, nine hundred thirty-three million, two hundred eighty thousand, two hundred fifty-six".