663366960 has 120 divisors (see below), whose sum is σ = 2237636544. Its totient is φ = 176117760.

The previous prime is 663366947. The next prime is 663366961. The reversal of 663366960 is 69663366.

663366960 is a `hidden beast` number, since 6 + 633 + 6 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (663366961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171609 + ... + 175431.

Almost surely, 2^663366960 is an apocalyptic number.

663366960 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 663366960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118818272).

663366960 is an abundant number, since it is smaller than the sum of its proper divisors (1574269584).

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

663366960 is a wasteful number, since it uses less digits than its factorization.

663366960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The square root of 663366960 is about 25755.9111661770. The cubic root of 663366960 is about 872.1368006343.

The spelling of 663366960 in words is "six hundred sixty-three million, three hundred sixty-six thousand, nine hundred sixty".