13680423680 has 432 divisors, whose sum is σ = 42278423040. Its totient is φ = 4193280000.

The previous prime is 13680423649. The next prime is 13680423703. The reversal of 13680423680 is 8632408631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54503555 + ... + 54503805.

It is an arithmetic number, because the mean of its divisors is an integer number (97866720).

Almost surely, 2^13680423680 is an apocalyptic number.

13680423680 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 13680423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139211520).

13680423680 is an abundant number, since it is smaller than the sum of its proper divisors (28597999360).

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

13680423680 is a wasteful number, since it uses less digits than its factorization.

13680423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 13680423680 in words is "thirteen billion, six hundred eighty million, four hundred twenty-three thousand, six hundred eighty".