13867740264 has 128 divisors (see below), whose sum is σ = 40610304000. Its totient is φ = 3864616704.

The previous prime is 13867740253. The next prime is 13867740283. The reversal of 13867740264 is 46204776831.

It is a happy number.

13867740264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1095282 + ... + 1107870.

It is an arithmetic number, because the mean of its divisors is an integer number (317268000).

Almost surely, 2^13867740264 is an apocalyptic number.

13867740264 is a gapful number since it is divisible by the number (14) 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 13867740264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20305152000).

13867740264 is an abundant number, since it is smaller than the sum of its proper divisors (26742563736).

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

13867740264 is a wasteful number, since it uses less digits than its factorization.

13867740264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12767 (or 12763 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 13867740264 in words is "thirteen billion, eight hundred sixty-seven million, seven hundred forty thousand, two hundred sixty-four".