13187942640 has 160 divisors (see below), whose sum is σ = 45462120000. Its totient is φ = 3513922560.

The previous prime is 13187942633. The next prime is 13187942681. The reversal of 13187942640 is 4624978131.

13187942640 is a `hidden beast` number, since 1 + 3 + 187 + 9 + 426 + 40 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4795986 + ... + 4798734.

It is an arithmetic number, because the mean of its divisors is an integer number (284138250).

Almost surely, 2^13187942640 is an apocalyptic number.

13187942640 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 13187942640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22731060000).

13187942640 is an abundant number, since it is smaller than the sum of its proper divisors (32274177360).

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

13187942640 is a wasteful number, since it uses less digits than its factorization.

13187942640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13187942640 in words is "thirteen billion, one hundred eighty-seven million, nine hundred forty-two thousand, six hundred forty".