663331680 has 504 divisors, whose sum is σ = 2637575136. Its totient is φ = 157386240.

The previous prime is 663331679. The next prime is 663331699. The reversal of 663331680 is 86133366.

663331680 is a `hidden beast` number, since 6 + 633 + 3 + 16 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 83 ways as a sum of consecutive naturals, for example, 14113417 + ... + 14113463.

It is an arithmetic number, because the mean of its divisors is an integer number (5233284).

Almost surely, 2^663331680 is an apocalyptic number.

663331680 is a gapful number since it is divisible by the number (60) 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 663331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318787568).

663331680 is an abundant number, since it is smaller than the sum of its proper divisors (1974243456).

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

663331680 is a wasteful number, since it uses less digits than its factorization.

663331680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 663331680 is about 25755.2262657504. The cubic root of 663331680 is about 872.1213393418.

The spelling of 663331680 in words is "six hundred sixty-three million, three hundred thirty-one thousand, six hundred eighty".