13683808320 has 336 divisors, whose sum is σ = 53770377600. Its totient is φ = 2886893568.

The previous prime is 13683808319. The next prime is 13683808321. The reversal of 13683808320 is 2380838631.

It is an interprime number because it is at equal distance from previous prime (13683808319) and next prime (13683808321).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×13683808320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13683808321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1129656 + ... + 1141704.

Almost surely, 2^13683808320 is an apocalyptic number.

13683808320 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 13683808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26885188800).

13683808320 is an abundant number, since it is smaller than the sum of its proper divisors (40086569280).

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

13683808320 is a wasteful number, since it uses less digits than its factorization.

13683808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12102 (or 12079 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 13683808320 in words is "thirteen billion, six hundred eighty-three million, eight hundred eight thousand, three hundred twenty".