13676420479680 has 784 divisors, whose sum is σ = 56316266783040. Its totient is φ = 3097319399424.

The previous prime is 13676420479679. The next prime is 13676420479699. The reversal of 13676420479680 is 8697402467631.

It is a happy number.

13676420479680 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 6 + 420 + 47 + 96 + 80 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 177954222 + ... + 178031058.

Almost surely, 2^{13676420479680} is an apocalyptic number.

13676420479680 is a gapful number since it is divisible by the number (10) 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 13676420479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28158133391520).

13676420479680 is an abundant number, since it is smaller than the sum of its proper divisors (42639846303360).

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

13676420479680 is an equidigital number, since it uses as much as digits as its factorization.

13676420479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76988 (or 76963 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 13676420479680 in words is "thirteen trillion, six hundred seventy-six billion, four hundred twenty million, four hundred seventy-nine thousand, six hundred eighty".