6813674880 has 128 divisors (see below), whose sum is σ = 22043162880. Its totient is φ = 1789827072.

The previous prime is 6813674809. The next prime is 6813674891. The reversal of 6813674880 is 884763186.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102157 + ... + 155123.

It is an arithmetic number, because the mean of its divisors is an integer number (172212210).

Almost surely, 2^6813674880 is an apocalyptic number.

6813674880 is a gapful number since it is divisible by the number (60) 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 6813674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021581440).

6813674880 is an abundant number, since it is smaller than the sum of its proper divisors (15229488000).

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

6813674880 is a wasteful number, since it uses less digits than its factorization.

6813674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53056 (or 53044 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 6813674880 is about 82544.9870070860. The cubic root of 6813674880 is about 1895.8056023874.

The spelling of 6813674880 in words is "six billion, eight hundred thirteen million, six hundred seventy-four thousand, eight hundred eighty".