663329931264 has 1536 divisors, whose sum is σ = 2711072851200. Its totient is φ = 157553786880.

The previous prime is 663329931259. The next prime is 663329931287. The reversal of 663329931264 is 462139923366.

663329931264 is a `hidden beast` number, since 6 + 6 + 33 + 299 + 312 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 663329931264.

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 95 ways as a sum of consecutive naturals, for example, 6199345099 + ... + 6199345205.

Almost surely, 2^663329931264 is an apocalyptic number.

663329931264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663329931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355536425600).

663329931264 is an abundant number, since it is smaller than the sum of its proper divisors (2047742919936).

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

663329931264 is a wasteful number, since it uses less digits than its factorization.

663329931264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 143 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

The spelling of 663329931264 in words is "six hundred sixty-three billion, three hundred twenty-nine million, nine hundred thirty-one thousand, two hundred sixty-four".