663122880 has 504 divisors, whose sum is σ = 2746418688. Its totient is φ = 146313216.

The previous prime is 663122851. The next prime is 663122897. The reversal of 663122880 is 88221366.

663122880 is a `hidden beast` number, since 66 + 312 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5221377 + ... + 5221503.

Almost surely, 2^663122880 is an apocalyptic number.

663122880 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 663122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373209344).

663122880 is an abundant number, since it is smaller than the sum of its proper divisors (2083295808).

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

663122880 is a wasteful number, since it uses less digits than its factorization.

663122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 663122880 is about 25751.1724004947. The cubic root of 663122880 is about 872.0298225078.

The spelling of 663122880 in words is "six hundred sixty-three million, one hundred twenty-two thousand, eight hundred eighty".