63980869680 has 960 divisors, whose sum is σ = 279352120320. Its totient is φ = 13248811008.

The previous prime is 63980869619. The next prime is 63980869703. The reversal of 63980869680 is 8696808936.

63980869680 is a `hidden beast` number, since 6 + 398 + 0 + 86 + 96 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104373054 + ... + 104373666.

It is an arithmetic number, because the mean of its divisors is an integer number (290991792).

Almost surely, 2^63980869680 is an apocalyptic number.

63980869680 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 63980869680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139676060160).

63980869680 is an abundant number, since it is smaller than the sum of its proper divisors (215371250640).

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

63980869680 is a wasteful number, since it uses less digits than its factorization.

63980869680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 63980869680 in words is "sixty-three billion, nine hundred eighty million, eight hundred sixty-nine thousand, six hundred eighty".