13687470720 has 1024 divisors, whose sum is σ = 61666099200. Its totient is φ = 2821754880.

The previous prime is 13687470677. The next prime is 13687470751. The reversal of 13687470720 is 2707478631.

13687470720 is a `hidden beast` number, since 1 + 36 + 87 + 470 + 72 + 0 = 666.

13687470720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 107775297 + ... + 107775423.

It is an arithmetic number, because the mean of its divisors is an integer number (60220800).

Almost surely, 2^13687470720 is an apocalyptic number.

13687470720 is a gapful number since it is divisible by the number (10) 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 13687470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30833049600).

13687470720 is an abundant number, since it is smaller than the sum of its proper divisors (47978628480).

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

13687470720 is an equidigital number, since it uses as much as digits as its factorization.

13687470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 13687470720 in words is "thirteen billion, six hundred eighty-seven million, four hundred seventy thousand, seven hundred twenty".