13680337440 has 1152 divisors, whose sum is σ = 60563220480. Its totient is φ = 2575964160.

The previous prime is 13680337403. The next prime is 13680337457. The reversal of 13680337440 is 4473308631.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 594797269 + ... + 594797291.

It is an arithmetic number, because the mean of its divisors is an integer number (52572240).

Almost surely, 2^13680337440 is an apocalyptic number.

13680337440 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 13680337440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30281610240).

13680337440 is an abundant number, since it is smaller than the sum of its proper divisors (46882883040).

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

13680337440 is a wasteful number, since it uses less digits than its factorization.

13680337440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 13680337440 in words is "thirteen billion, six hundred eighty million, three hundred thirty-seven thousand, four hundred forty".