13347664809360 has 960 divisors, whose sum is σ = 50979361112064. Its totient is φ = 2876003020800.

The previous prime is 13347664809341. The next prime is 13347664809419. The reversal of 13347664809360 is 6390846674331.

It is a happy number.

13347664809360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 13347664809294 and 13347664809303.

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, 7226671957 + ... + 7226673803.

Almost surely, 2^{13347664809360} is an apocalyptic number.

13347664809360 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 13347664809360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25489680556032).

13347664809360 is an abundant number, since it is smaller than the sum of its proper divisors (37631696302704).

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

13347664809360 is a wasteful number, since it uses less digits than its factorization.

13347664809360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 60.

The spelling of 13347664809360 in words is "thirteen trillion, three hundred forty-seven billion, six hundred sixty-four million, eight hundred nine thousand, three hundred sixty".