663984000 has 512 divisors, whose sum is σ = 2577744000. Its totient is φ = 167731200.

The previous prime is 663983989. The next prime is 663984047. The reversal of 663984000 is 489366.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12527974 + ... + 12528026.

Almost surely, 2^663984000 is an apocalyptic number.

663984000 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 663984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288872000).

663984000 is an abundant number, since it is smaller than the sum of its proper divisors (1913760000).

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

663984000 is a wasteful number, since it uses less digits than its factorization.

663984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 663984000 is about 25767.8869913697. The cubic root of 663984000 is about 872.4071268922.

The spelling of 663984000 in words is "six hundred sixty-three million, nine hundred eighty-four thousand".