663679104 has 128 divisors (see below), whose sum is σ = 1964666880. Its totient is φ = 196776960.

The previous prime is 663679073. The next prime is 663679169. The reversal of 663679104 is 401976366.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 196857 + ... + 200199.

It is an arithmetic number, because the mean of its divisors is an integer number (15348960).

Almost surely, 2^663679104 is an apocalyptic number.

663679104 is a gapful number since it is divisible by the number (64) 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 663679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982333440).

663679104 is an abundant number, since it is smaller than the sum of its proper divisors (1300987776).

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

663679104 is a wasteful number, since it uses less digits than its factorization.

663679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 663679104 is about 25761.9701109989. The cubic root of 663679104 is about 872.2735723850.

The spelling of 663679104 in words is "six hundred sixty-three million, six hundred seventy-nine thousand, one hundred four".