13407728176 has 80 divisors (see below), whose sum is σ = 28042748800. Its totient is φ = 6189571584.

The previous prime is 13407728167. The next prime is 13407728179. The reversal of 13407728176 is 67182770431.

It is not an unprimeable number, because it can be changed into a prime (13407728179) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8090740 + ... + 8092396.

It is an arithmetic number, because the mean of its divisors is an integer number (350534360).

Almost surely, 2^13407728176 is an apocalyptic number.

13407728176 is a gapful number since it is divisible by the number (16) 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 13407728176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021374400).

13407728176 is an abundant number, since it is smaller than the sum of its proper divisors (14635020624).

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

13407728176 is a wasteful number, since it uses less digits than its factorization.

13407728176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The spelling of 13407728176 in words is "thirteen billion, four hundred seven million, seven hundred twenty-eight thousand, one hundred seventy-six".