13640534096784 has 80 divisors (see below), whose sum is σ = 40285009511040. Its totient is φ = 3896041605120.

The previous prime is 13640534096779. The next prime is 13640534096801. The reversal of 13640534096784 is 48769043504631.

It is a super-3 number, since 3×13640534096784³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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, 5484297 + ... + 7573544.

It is an arithmetic number, because the mean of its divisors is an integer number (503562618888).

Almost surely, 2^{13640534096784} is an apocalyptic number.

13640534096784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13640534096784 is an abundant number, since it is smaller than the sum of its proper divisors (26644475414256).

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

13640534096784 is a wasteful number, since it uses less digits than its factorization.

13640534096784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13060968 (or 13060962 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 13640534096784 in words is "thirteen trillion, six hundred forty billion, five hundred thirty-four million, ninety-six thousand, seven hundred eighty-four".