13660820640 has 384 divisors, whose sum is σ = 50712480000. Its totient is φ = 3424923648.

The previous prime is 13660820639. The next prime is 13660820651. The reversal of 13660820640 is 4602806631.

13660820640 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 0 + 8 + 2 + 0 + 640 = 666.

13660820640 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 13660820595 and 13660820604.

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 63 ways as a sum of consecutive naturals, for example, 12229362 + ... + 12230478.

It is an arithmetic number, because the mean of its divisors is an integer number (132063750).

Almost surely, 2^13660820640 is an apocalyptic number.

13660820640 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 13660820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25356240000).

13660820640 is an abundant number, since it is smaller than the sum of its proper divisors (37051659360).

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

13660820640 is a wasteful number, since it uses less digits than its factorization.

13660820640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13660820640 in words is "thirteen billion, six hundred sixty million, eight hundred twenty thousand, six hundred forty".