13680727909 has 32 divisors (see below), whose sum is σ = 15048704000. Its totient is φ = 12393186624.

The previous prime is 13680727877. The next prime is 13680727933. The reversal of 13680727909 is 90972708631.

It is a cyclic number.

It is not a de Polignac number, because 13680727909 - 2⁵ = 13680727877 is a prime.

It is a super-2 number, since 2×13680727909² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680727309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8196127 + ... + 8197795.

It is an arithmetic number, because the mean of its divisors is an integer number (470272000).

Almost surely, 2^13680727909 is an apocalyptic number.

13680727909 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

13680727909 is a deficient number, since it is larger than the sum of its proper divisors (1367976091).

13680727909 is a wasteful number, since it uses less digits than its factorization.

13680727909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937.

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 13680727909 in words is "thirteen billion, six hundred eighty million, seven hundred twenty-seven thousand, nine hundred nine".