13407346680800 has 36 divisors (see below), whose sum is σ = 32730685086456. Its totient is φ = 5362938672000.

The previous prime is 13407346680769. The next prime is 13407346680809. The reversal of 13407346680800 is 808664370431.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13407346680809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8379590876 + ... + 8379592475.

It is an arithmetic number, because the mean of its divisors is an integer number (909185696846).

Almost surely, 2^{13407346680800} is an apocalyptic number.

13407346680800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13407346680800 is an abundant number, since it is smaller than the sum of its proper divisors (19323338405656).

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

13407346680800 is a wasteful number, since it uses less digits than its factorization.

13407346680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16759183371 (or 16759183358 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 13407346680800 in words is "thirteen trillion, four hundred seven billion, three hundred forty-six million, six hundred eighty thousand, eight hundred".