664616304 has 120 divisors (see below), whose sum is σ = 2038683504. Its totient is φ = 200448000.

The previous prime is 664616291. The next prime is 664616327. The reversal of 664616304 is 403616466.

664616304 is a `hidden beast` number, since 6 + 6 + 4 + 616 + 30 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380874 + ... + 382614.

Almost surely, 2^664616304 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 664616304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019341752).

664616304 is an abundant number, since it is smaller than the sum of its proper divisors (1374067200).

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

664616304 is a wasteful number, since it uses less digits than its factorization.

664616304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 664616304 is about 25780.1532966738. The cubic root of 664616304 is about 872.6839666485.

The spelling of 664616304 in words is "six hundred sixty-four million, six hundred sixteen thousand, three hundred four".