13682647848240 has 640 divisors, whose sum is σ = 55648209715200. Its totient is φ = 3023915950080.

The previous prime is 13682647848229. The next prime is 13682647848277. The reversal of 13682647848240 is 4284874628631.

It is a happy number.

13682647848240 is a `hidden beast` number, since 1 + 3 + 6 + 82 + 6 + 4 + 78 + 482 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 559170726 + ... + 559195194.

It is an arithmetic number, because the mean of its divisors is an integer number (86950327680).

Almost surely, 2^{13682647848240} is an apocalyptic number.

13682647848240 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 13682647848240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27824104857600).

13682647848240 is an abundant number, since it is smaller than the sum of its proper divisors (41965561866960).

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

13682647848240 is a wasteful number, since it uses less digits than its factorization.

13682647848240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25722 (or 25710 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 13682647848240 in words is "thirteen trillion, six hundred eighty-two billion, six hundred forty-seven million, eight hundred forty-eight thousand, two hundred forty".