664707456 has 192 divisors, whose sum is σ = 2257382400. Its totient is φ = 183720960.

The previous prime is 664707443. The next prime is 664707499. The reversal of 664707456 is 654707466.

It is a happy number.

664707456 is a `hidden beast` number, since 66 + 470 + 74 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 248655 + ... + 251313.

It is an arithmetic number, because the mean of its divisors is an integer number (11757200).

Almost surely, 2^664707456 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 664707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128691200).

664707456 is an abundant number, since it is smaller than the sum of its proper divisors (1592674944).

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

664707456 is a wasteful number, since it uses less digits than its factorization.

664707456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 664707456 is about 25781.9211076289. The cubic root of 664707456 is about 872.7238609715.

The spelling of 664707456 in words is "six hundred sixty-four million, seven hundred seven thousand, four hundred fifty-six".