663599952000 has 448 divisors, whose sum is σ = 2473724948760. Its totient is φ = 176956876800.

The previous prime is 663599951999. The next prime is 663599952013. The reversal of 663599952000 is 259995366.

663599952000 is a `hidden beast` number, since 6 + 63 + 59 + 9 + 9 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88465794624 + 575134157376 = 297432^2 + 758376^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11635554 + ... + 11692446.

Almost surely, 2^663599952000 is an apocalyptic number.

663599952000 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 663599952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236862474380).

663599952000 is an abundant number, since it is smaller than the sum of its proper divisors (1810124996760).

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

663599952000 is an frugal number, since it uses more digits than its factorization.

663599952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56940 (or 56903 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 663599952000 in words is "six hundred sixty-three billion, five hundred ninety-nine million, nine hundred fifty-two thousand".