13730564496 has 80 divisors (see below), whose sum is σ = 38932865280. Its totient is φ = 4135224960.

The previous prime is 13730564461. The next prime is 13730564521. The reversal of 13730564496 is 69446503731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6295 + ... + 165833.

It is an arithmetic number, because the mean of its divisors is an integer number (486660816).

Almost surely, 2^13730564496 is an apocalyptic number.

13730564496 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 13730564496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19466432640).

13730564496 is an abundant number, since it is smaller than the sum of its proper divisors (25202300784).

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

13730564496 is a wasteful number, since it uses less digits than its factorization.

13730564496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159724 (or 159718 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 13730564496 in words is "thirteen billion, seven hundred thirty million, five hundred sixty-four thousand, four hundred ninety-six".