664976000 has 256 divisors, whose sum is σ = 1871251200. Its totient is φ = 233164800.

The previous prime is 664975999. The next prime is 664976033. The reversal of 664976000 is 679466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4783931 + ... + 4784069.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

Almost surely, 2^664976000 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 664976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935625600).

664976000 is an abundant number, since it is smaller than the sum of its proper divisors (1206275200).

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

664976000 is a wasteful number, since it uses less digits than its factorization.

664976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 664976000 is about 25787.1285722160. The cubic root of 664976000 is about 872.8413729186.

The spelling of 664976000 in words is "six hundred sixty-four million, nine hundred seventy-six thousand".