6813400067400 has 48 divisors (see below), whose sum is σ = 21121540210800. Its totient is φ = 1816906684480.

The previous prime is 6813400067399. The next prime is 6813400067417. The reversal of 6813400067400 is 47600043186.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5677832790 + ... + 5677833989.

It is an arithmetic number, because the mean of its divisors is an integer number (440032087725).

Almost surely, 2^{6813400067400} is an apocalyptic number.

6813400067400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6813400067400 is an abundant number, since it is smaller than the sum of its proper divisors (14308140143400).

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

6813400067400 is a wasteful number, since it uses less digits than its factorization.

6813400067400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11355666798 (or 11355666789 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 6813400067400 in words is "six trillion, eight hundred thirteen billion, four hundred million, sixty-seven thousand, four hundred".