663634944 has 308 divisors, whose sum is σ = 2291067904. Its totient is φ = 188116992.

The previous prime is 663634919. The next prime is 663634973. The reversal of 663634944 is 449436366.

663634944 is a `hidden beast` number, since 6 + 6 + 3 + 634 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×663634944² = 880822677795766272, which contains 22 as substring.

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 663634944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5225409 + ... + 5225535.

Almost surely, 2^663634944 is an apocalyptic number.

663634944 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 663634944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145533952).

663634944 is an abundant number, since it is smaller than the sum of its proper divisors (1627432960).

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

663634944 is an equidigital number, since it uses as much as digits as its factorization.

663634944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 663634944 is about 25761.1130194330. The cubic root of 663634944 is about 872.2542254571.

The spelling of 663634944 in words is "six hundred sixty-three million, six hundred thirty-four thousand, nine hundred forty-four".