664081931382912 has 640 divisors, whose sum is σ = 2314239146714880. Its totient is φ = 185067904204800.

The previous prime is 664081931382769. The next prime is 664081931382923. The reversal of 664081931382912 is 219283139180466.

664081931382912 is a `hidden beast` number, since 6 + 6 + 4 + 0 + 81 + 93 + 1 + 382 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 664081931382912.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14494202628 + ... + 14494248444.

It is an arithmetic number, because the mean of its divisors is an integer number (3615998666742).

Almost surely, 2^{664081931382912} 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 664081931382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157119573357440).

664081931382912 is an abundant number, since it is smaller than the sum of its proper divisors (1650157215331968).

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

664081931382912 is a wasteful number, since it uses less digits than its factorization.

664081931382912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50762 (or 50741 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 664081931382912 in words is "six hundred sixty-four trillion, eighty-one billion, nine hundred thirty-one million, three hundred eighty-two thousand, nine hundred twelve".