664392960 has 648 divisors, whose sum is σ = 2944390176. Its totient is φ = 136765440.

The previous prime is 664392959. The next prime is 664392977. The reversal of 664392960 is 69293466.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 6209227 + ... + 6209333.

It is an arithmetic number, because the mean of its divisors is an integer number (4543812).

Almost surely, 2^664392960 is an apocalyptic number.

664392960 is a gapful number since it is divisible by the number (60) 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 664392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472195088).

664392960 is an abundant number, since it is smaller than the sum of its proper divisors (2279997216).

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

664392960 is a wasteful number, since it uses less digits than its factorization.

664392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 664392960 is about 25775.8212284303. The cubic root of 664392960 is about 872.5862006825.

The spelling of 664392960 in words is "six hundred sixty-four million, three hundred ninety-two thousand, nine hundred sixty".