13479867072 has 630 divisors, whose sum is σ = 49333643268. Its totient is φ = 3648685824.

The previous prime is 13479867043. The next prime is 13479867133. The reversal of 13479867072 is 27076897431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 709466679 + ... + 709466697.

Almost surely, 2^13479867072 is an apocalyptic number.

13479867072 is a gapful number since it is divisible by the number (12) 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 13479867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24666821634).

13479867072 is an abundant number, since it is smaller than the sum of its proper divisors (35853776196).

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

13479867072 is an frugal number, since it uses more digits than its factorization.

13479867072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 13479867072 in words is "thirteen billion, four hundred seventy-nine million, eight hundred sixty-seven thousand, seventy-two".