13682688480 has 168 divisors, whose sum is σ = 48466269432. Its totient is φ = 3648685824.

The previous prime is 13682688479. The next prime is 13682688499. The reversal of 13682688480 is 8488628631.

13682688480 is a `hidden beast` number, since 1 + 3 + 6 + 82 + 6 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57987 + ... + 175293.

It is an arithmetic number, because the mean of its divisors is an integer number (288489699).

Almost surely, 2^13682688480 is an apocalyptic number.

13682688480 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 13682688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24233134716).

13682688480 is an abundant number, since it is smaller than the sum of its proper divisors (34783580952).

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

13682688480 is an equidigital number, since it uses as much as digits as its factorization.

13682688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117340 (or 117317 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 13682688480 in words is "thirteen billion, six hundred eighty-two million, six hundred eighty-eight thousand, four hundred eighty".