663936000 has 704 divisors, whose sum is σ = 2861214720. Its totient is φ = 132710400.

The previous prime is 663935989. The next prime is 663936011. The reversal of 663936000 is 639366.

It is an interprime number because it is at equal distance from previous prime (663935989) and next prime (663936011).

It is a super-2 number, since 2×663936000² = 881622024192000000, which contains 22 as substring.

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, 34943991 + ... + 34944009.

Almost surely, 2^663936000 is an apocalyptic number.

663936000 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 663936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430607360).

663936000 is an abundant number, since it is smaller than the sum of its proper divisors (2197278720).

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

663936000 is a wasteful number, since it uses less digits than its factorization.

663936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 663936000 is about 25766.9555826838. The cubic root of 663936000 is about 872.3861040206.

The spelling of 663936000 in words is "six hundred sixty-three million, nine hundred thirty-six thousand".