663957504 has 312 divisors, whose sum is σ = 2289810432. Its totient is φ = 181370880.

The previous prime is 663957449. The next prime is 663957509. The reversal of 663957504 is 405759366.

663957504 is a `hidden beast` number, since 6 + 639 + 5 + 7 + 5 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 663957504.

It is not an unprimeable number, because it can be changed into a prime (663957509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7999447 + ... + 7999529.

It is an arithmetic number, because the mean of its divisors is an integer number (7339136).

Almost surely, 2^663957504 is an apocalyptic number.

663957504 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 663957504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144905216).

663957504 is an abundant number, since it is smaller than the sum of its proper divisors (1625852928).

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

663957504 is a wasteful number, since it uses less digits than its factorization.

663957504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 663957504 is about 25767.3728579380. The cubic root of 663957504 is about 872.3955223924.

The spelling of 663957504 in words is "six hundred sixty-three million, nine hundred fifty-seven thousand, five hundred four".