664628860512 has 288 divisors, whose sum is σ = 1968340518144. Its totient is φ = 212554368000.

The previous prime is 664628860433. The next prime is 664628860579. The reversal of 664628860512 is 215068826466.

664628860512 is a `hidden beast` number, since 6 + 6 + 4 + 6 + 28 + 8 + 605 + 1 + 2 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233119887 + ... + 233122737.

It is an arithmetic number, because the mean of its divisors is an integer number (6834515688).

Almost surely, 2^664628860512 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 664628860512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984170259072).

664628860512 is an abundant number, since it is smaller than the sum of its proper divisors (1303711657632).

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

664628860512 is a wasteful number, since it uses less digits than its factorization.

664628860512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 664628860512 in words is "six hundred sixty-four billion, six hundred twenty-eight million, eight hundred sixty thousand, five hundred twelve".