13734020640 has 48 divisors (see below), whose sum is σ = 43262166528. Its totient is φ = 3662405376.

The previous prime is 13734020623. The next prime is 13734020687. The reversal of 13734020640 is 4602043731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13734020598 and 13734020607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14305792 + ... + 14306751.

It is an arithmetic number, because the mean of its divisors is an integer number (901295136).

Almost surely, 2^13734020640 is an apocalyptic number.

13734020640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13734020640 is an abundant number, since it is smaller than the sum of its proper divisors (29528145888).

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

13734020640 is a wasteful number, since it uses less digits than its factorization.

13734020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28612561 (or 28612553 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 13734020640 in words is "thirteen billion, seven hundred thirty-four million, twenty thousand, six hundred forty".