13408074720 has 192 divisors, whose sum is σ = 46984069440. Its totient is φ = 3571236864.

The previous prime is 13408074707. The next prime is 13408074737. The reversal of 13408074720 is 2747080431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5601844 + ... + 5604236.

It is an arithmetic number, because the mean of its divisors is an integer number (244708695).

Almost surely, 2^13408074720 is an apocalyptic number.

13408074720 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 13408074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23492034720).

13408074720 is an abundant number, since it is smaller than the sum of its proper divisors (33575994720).

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

13408074720 is a wasteful number, since it uses less digits than its factorization.

13408074720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 13408074720 in words is "thirteen billion, four hundred eight million, seventy-four thousand, seven hundred twenty".