663960128832 has 1344 divisors, whose sum is σ = 2668129271808. Its totient is φ = 153554227200.

The previous prime is 663960128729. The next prime is 663960128857. The reversal of 663960128832 is 238821069366.

663960128832 is a `hidden beast` number, since 6 + 6 + 3 + 9 + 601 + 28 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2162736423 + ... + 2162736729.

It is an arithmetic number, because the mean of its divisors is an integer number (1985215232).

Almost surely, 2^663960128832 is an apocalyptic number.

663960128832 is a gapful number since it is divisible by the number (62) 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 663960128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334064635904).

663960128832 is an abundant number, since it is smaller than the sum of its proper divisors (2004169142976).

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

663960128832 is a wasteful number, since it uses less digits than its factorization.

663960128832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 663960128832 in words is "six hundred sixty-three billion, nine hundred sixty million, one hundred twenty-eight thousand, eight hundred thirty-two".