663977160 has 384 divisors, whose sum is σ = 2850681600. Its totient is φ = 129761280.

The previous prime is 663977141. The next prime is 663977183. The reversal of 663977160 is 61779366.

663977160 is a `hidden beast` number, since 6 + 639 + 7 + 7 + 1 + 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 95 ways as a sum of consecutive naturals, for example, 470536 + ... + 471944.

It is an arithmetic number, because the mean of its divisors is an integer number (7423650).

Almost surely, 2^663977160 is an apocalyptic number.

663977160 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 663977160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425340800).

663977160 is an abundant number, since it is smaller than the sum of its proper divisors (2186704440).

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

663977160 is a wasteful number, since it uses less digits than its factorization.

663977160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 663977160 is about 25767.7542676889. The cubic root of 663977160 is about 872.4041311949.

The spelling of 663977160 in words is "six hundred sixty-three million, nine hundred seventy-seven thousand, one hundred sixty".