664704025056 has 288 divisors, whose sum is σ = 2043347342400. Its totient is φ = 204199280640.

The previous prime is 664704025003. The next prime is 664704025109. The reversal of 664704025056 is 650520407466.

664704025056 is a `hidden beast` number, since 66 + 47 + 0 + 40 + 2 + 505 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (664704025003) and next prime (664704025109).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 68387365 + ... + 68397083.

It is an arithmetic number, because the mean of its divisors is an integer number (7094956050).

Almost surely, 2^664704025056 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 664704025056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021673671200).

664704025056 is an abundant number, since it is smaller than the sum of its proper divisors (1378643317344).

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

664704025056 is a wasteful number, since it uses less digits than its factorization.

664704025056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 664704025056 in words is "six hundred sixty-four billion, seven hundred four million, twenty-five thousand, fifty-six".