664552512 has 336 divisors, whose sum is σ = 2252228160. Its totient is φ = 192595968.

The previous prime is 664552489. The next prime is 664552513. The reversal of 664552512 is 215255466.

664552512 is a `hidden beast` number, since 6 + 645 + 5 + 2 + 5 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (664552513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3841258 + ... + 3841430.

It is an arithmetic number, because the mean of its divisors is an integer number (6703060).

Almost surely, 2^664552512 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 664552512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126114080).

664552512 is an abundant number, since it is smaller than the sum of its proper divisors (1587675648).

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

664552512 is a wasteful number, since it uses less digits than its factorization.

664552512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 664552512 is about 25778.9160361719. The cubic root of 664552512 is about 872.6560447550.

The spelling of 664552512 in words is "six hundred sixty-four million, five hundred fifty-two thousand, five hundred twelve".