663734400 has 576 divisors, whose sum is σ = 2725138080. Its totient is φ = 141066240.

The previous prime is 663734399. The next prime is 663734411. The reversal of 663734400 is 4437366.

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 71 ways as a sum of consecutive naturals, for example, 7996759 + ... + 7996841.

Almost surely, 2^663734400 is an apocalyptic number.

663734400 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 663734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362569040).

663734400 is an abundant number, since it is smaller than the sum of its proper divisors (2061403680).

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

663734400 is a wasteful number, since it uses less digits than its factorization.

663734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 663734400 is about 25763.0432984925. The cubic root of 663734400 is about 872.2977968934.

The spelling of 663734400 in words is "six hundred sixty-three million, seven hundred thirty-four thousand, four hundred".