13704364080 has 480 divisors, whose sum is σ = 54823991040. Its totient is φ = 3146480640.

The previous prime is 13704364043. The next prime is 13704364087. The reversal of 13704364080 is 8046340731.

13704364080 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 4 + 3 + 640 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13704364087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4061274 + ... + 4064646.

It is an arithmetic number, because the mean of its divisors is an integer number (114216648).

Almost surely, 2^13704364080 is an apocalyptic number.

13704364080 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 13704364080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27411995520).

13704364080 is an abundant number, since it is smaller than the sum of its proper divisors (41119626960).

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

13704364080 is a wasteful number, since it uses less digits than its factorization.

13704364080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13704364080 in words is "thirteen billion, seven hundred four million, three hundred sixty-four thousand, eighty".