663914160 has 240 divisors, whose sum is σ = 2744449344. Its totient is φ = 140064768.

The previous prime is 663914149. The next prime is 663914171. The reversal of 663914160 is 61419366.

663914160 is a `hidden beast` number, since 6 + 639 + 1 + 4 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (663914149) and next prime (663914171).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 60454 + ... + 70586.

Almost surely, 2^663914160 is an apocalyptic number.

663914160 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 663914160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372224672).

663914160 is an abundant number, since it is smaller than the sum of its proper divisors (2080535184).

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

663914160 is a wasteful number, since it uses less digits than its factorization.

663914160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10172 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 663914160 is about 25766.5317805870. The cubic root of 663914160 is about 872.3765382786.

The spelling of 663914160 in words is "six hundred sixty-three million, nine hundred fourteen thousand, one hundred sixty".