663431109120 has 1600 divisors, whose sum is σ = 2802906602496. Its totient is φ = 148423311360.

The previous prime is 663431109097. The next prime is 663431109161. The reversal of 663431109120 is 21901134366.

663431109120 is a `hidden beast` number, since 6 + 634 + 3 + 1 + 1 + 0 + 9 + 12 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1420623127 + ... + 1420623593.

Almost surely, 2^663431109120 is an apocalyptic number.

663431109120 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 663431109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401453301248).

663431109120 is an abundant number, since it is smaller than the sum of its proper divisors (2139475493376).

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

663431109120 is a wasteful number, since it uses less digits than its factorization.

663431109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 663431109120 in words is "six hundred sixty-three billion, four hundred thirty-one million, one hundred nine thousand, one hundred twenty".