13677826680 has 432 divisors, whose sum is σ = 54951759720. Its totient is φ = 2941360128.

The previous prime is 13677826649. The next prime is 13677826763. The reversal of 13677826680 is 8662877631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5096619 + ... + 5099301.

Almost surely, 2^13677826680 is an apocalyptic number.

13677826680 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 13677826680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27475879860).

13677826680 is an abundant number, since it is smaller than the sum of its proper divisors (41273933040).

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

13677826680 is a wasteful number, since it uses less digits than its factorization.

13677826680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 13677826680 in words is "thirteen billion, six hundred seventy-seven million, eight hundred twenty-six thousand, six hundred eighty".