6813400152 has 128 divisors (see below), whose sum is σ = 19420128000. Its totient is φ = 1974689280.

The previous prime is 6813400123. The next prime is 6813400169. The reversal of 6813400152 is 2510043186.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1057902 + ... + 1064322.

It is an arithmetic number, because the mean of its divisors is an integer number (151719750).

Almost surely, 2^6813400152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6813400152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710064000).

6813400152 is an abundant number, since it is smaller than the sum of its proper divisors (12606727848).

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

6813400152 is a wasteful number, since it uses less digits than its factorization.

6813400152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 6813400152 is about 82543.3228795643. The cubic root of 6813400152 is about 1895.7801223593.

The spelling of 6813400152 in words is "six billion, eight hundred thirteen million, four hundred thousand, one hundred fifty-two".