663680640000 has 1760 divisors, whose sum is σ = 2799399905280. Its totient is φ = 136249344000.

The previous prime is 663680639989. The next prime is 663680640001. The reversal of 663680640000 is 46086366.

It is not an unprimeable number, because it can be changed into a prime (663680640001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5873279944 + ... + 5873280056.

It is an arithmetic number, because the mean of its divisors is an integer number (1590568128).

Almost surely, 2^663680640000 is an apocalyptic number.

663680640000 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 663680640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399699952640).

663680640000 is an abundant number, since it is smaller than the sum of its proper divisors (2135719265280).

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

663680640000 is a wasteful number, since it uses less digits than its factorization.

663680640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 663680640000 in words is "six hundred sixty-three billion, six hundred eighty million, six hundred forty thousand".