6807108672 has 448 divisors, whose sum is σ = 25009205760. Its totient is φ = 1767702528.

The previous prime is 6807108613. The next prime is 6807108683. The reversal of 6807108672 is 2768017086.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11478808 + ... + 11479400.

It is an arithmetic number, because the mean of its divisors is an integer number (55824120).

Almost surely, 2^6807108672 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 6807108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12504602880).

6807108672 is an abundant number, since it is smaller than the sum of its proper divisors (18202097088).

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

6807108672 is a wasteful number, since it uses less digits than its factorization.

6807108672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 6807108672 is about 82505.2039086020. The cubic root of 6807108672 is about 1895.1964228091.

The spelling of 6807108672 in words is "six billion, eight hundred seven million, one hundred eight thousand, six hundred seventy-two".