663618960 has 160 divisors (see below), whose sum is σ = 2315328000. Its totient is φ = 174680064.

The previous prime is 663618959. The next prime is 663619003. The reversal of 663618960 is 69816366.

663618960 is a `hidden beast` number, since 6 + 636 + 1 + 8 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168696 + ... + 172584.

It is an arithmetic number, because the mean of its divisors is an integer number (14470800).

Almost surely, 2^663618960 is an apocalyptic number.

663618960 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 663618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157664000).

663618960 is an abundant number, since it is smaller than the sum of its proper divisors (1651709040).

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

663618960 is a wasteful number, since it uses less digits than its factorization.

663618960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 663618960 is about 25760.8027825221. The cubic root of 663618960 is about 872.2472224988.

The spelling of 663618960 in words is "six hundred sixty-three million, six hundred eighteen thousand, nine hundred sixty".