13730340960 has 216 divisors, whose sum is σ = 54504830016. Its totient is φ = 3138347520.

The previous prime is 13730340931. The next prime is 13730340973. The reversal of 13730340960 is 6904303731.

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 35 ways as a sum of consecutive naturals, for example, 26736 + ... + 167855.

It is an arithmetic number, because the mean of its divisors is an integer number (252337176).

Almost surely, 2^13730340960 is an apocalyptic number.

13730340960 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 13730340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27252415008).

13730340960 is an abundant number, since it is smaller than the sum of its proper divisors (40774489056).

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

13730340960 is a wasteful number, since it uses less digits than its factorization.

13730340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194626 (or 194608 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 13730340960 in words is "thirteen billion, seven hundred thirty million, three hundred forty thousand, nine hundred sixty".