663980338560 has 512 divisors, whose sum is σ = 2641492270080. Its totient is φ = 137822699520.

The previous prime is 663980338531. The next prime is 663980338561. The reversal of 663980338560 is 65833089366.

It is a super-4 number, since 4×663980338560⁴ (a number of 48 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 663980338560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663980338561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188789922 + ... + 188793438.

It is an arithmetic number, because the mean of its divisors is an integer number (5159164590).

Almost surely, 2^663980338560 is an apocalyptic number.

663980338560 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 663980338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320746135040).

663980338560 is an abundant number, since it is smaller than the sum of its proper divisors (1977511931520).

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

663980338560 is a wasteful number, since it uses less digits than its factorization.

663980338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 663980338560 in words is "six hundred sixty-three billion, nine hundred eighty million, three hundred thirty-eight thousand, five hundred sixty".