663672800 has 144 divisors (see below), whose sum is σ = 1911877632. Its totient is φ = 220147200.

The previous prime is 663672791. The next prime is 663672827. The reversal of 663672800 is 8276366.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171689 + ... + 175511.

It is an arithmetic number, because the mean of its divisors is an integer number (13276928).

Almost surely, 2^663672800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955938816).

663672800 is an abundant number, since it is smaller than the sum of its proper divisors (1248204832).

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

663672800 is a wasteful number, since it uses less digits than its factorization.

663672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 663672800 is about 25761.8477598172. The cubic root of 663672800 is about 872.2708105935.

The spelling of 663672800 in words is "six hundred sixty-three million, six hundred seventy-two thousand, eight hundred".