663874689638160 has 2880 divisors, whose sum is σ = 3154820753548800. Its totient is φ = 127090237317120.

The previous prime is 663874689638143. The next prime is 663874689638197. The reversal of 663874689638160 is 61836986478366.

663874689638160 is a `hidden beast` number, since 6 + 6 + 3 + 8 + 7 + 468 + 96 + 3 + 8 + 1 + 60 = 666.

663874689638160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 663874689638160.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 92732876661 + ... + 92732883819.

It is an arithmetic number, because the mean of its divisors is an integer number (1095423872760).

Almost surely, 2^{663874689638160} is an apocalyptic number.

663874689638160 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 663874689638160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577410376774400).

663874689638160 is an abundant number, since it is smaller than the sum of its proper divisors (2490946063910640).

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

663874689638160 is a wasteful number, since it uses less digits than its factorization.

663874689638160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7787 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 9029615616, while the sum is 81.

The spelling of 663874689638160 in words is "six hundred sixty-three trillion, eight hundred seventy-four billion, six hundred eighty-nine million, six hundred thirty-eight thousand, one hundred sixty".