663979032000 has 784 divisors, whose sum is σ = 2480568116832. Its totient is φ = 175973990400.

The previous prime is 663979031977. The next prime is 663979032019. The reversal of 663979032000 is 230979366.

663979032000 is a `hidden beast` number, since 6 + 639 + 7 + 9 + 0 + 3 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1498823779 + ... + 1498824221.

Almost surely, 2^663979032000 is an apocalyptic number.

663979032000 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 663979032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240284058416).

663979032000 is an abundant number, since it is smaller than the sum of its proper divisors (1816589084832).

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

663979032000 is an equidigital number, since it uses as much as digits as its factorization.

663979032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 663979032000 in words is "six hundred sixty-three billion, nine hundred seventy-nine million, thirty-two thousand".