13683340800 has 720 divisors, whose sum is σ = 53742118320. Its totient is φ = 3409182720.

The previous prime is 13683340799. The next prime is 13683340819. The reversal of 13683340800 is 804338631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99878332 + ... + 99878468.

It is an arithmetic number, because the mean of its divisors is an integer number (74641831).

Almost surely, 2^13683340800 is an apocalyptic number.

13683340800 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 13683340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26871059160).

13683340800 is an abundant number, since it is smaller than the sum of its proper divisors (40058777520).

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

13683340800 is a wasteful number, since it uses less digits than its factorization.

13683340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 164 counting only the distinct ones).

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

The spelling of 13683340800 in words is "thirteen billion, six hundred eighty-three million, three hundred forty thousand, eight hundred".