13767705460 has 24 divisors (see below), whose sum is σ = 29402220960. Its totient is φ = 5413741344.

The previous prime is 13767705443. The next prime is 13767705467. The reversal of 13767705460 is 6450776731.

13767705460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13767705460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13767705467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5832594 + ... + 5834953.

It is an arithmetic number, because the mean of its divisors is an integer number (1225092540).

Almost surely, 2^13767705460 is an apocalyptic number.

13767705460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13767705460 is an abundant number, since it is smaller than the sum of its proper divisors (15634515500).

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

13767705460 is a wasteful number, since it uses less digits than its factorization.

13767705460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11667615 (or 11667613 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 46.

The spelling of 13767705460 in words is "thirteen billion, seven hundred sixty-seven million, seven hundred five thousand, four hundred sixty".