663676800 has 192 divisors, whose sum is σ = 2202649200. Its totient is φ = 175636480.

The previous prime is 663676789. The next prime is 663676817. The reversal of 663676800 is 8676366.

663676800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2467066 + ... + 2467334.

Almost surely, 2^663676800 is an apocalyptic number.

663676800 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 663676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101324600).

663676800 is an abundant number, since it is smaller than the sum of its proper divisors (1538972400).

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

663676800 is a wasteful number, since it uses less digits than its factorization.

663676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 663676800 is about 25761.9253938831. The cubic root of 663676800 is about 872.2725630013.

It can be divided in two parts, 6636 and 76800, that added together give a triangular number (83436 = T₄₀₈).

The spelling of 663676800 in words is "six hundred sixty-three million, six hundred seventy-six thousand, eight hundred".