6806004672 has 112 divisors (see below), whose sum is σ = 19102437792. Its totient is φ = 2131230720.

The previous prime is 6806004671. The next prime is 6806004679. The reversal of 6806004672 is 2764006086.

It is a self number, because there is not a number n which added to its sum of digits gives 6806004672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6806004671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2090598 + ... + 2093850.

Almost surely, 2^6806004672 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 6806004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9551218896).

6806004672 is an abundant number, since it is smaller than the sum of its proper divisors (12296433120).

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

6806004672 is a wasteful number, since it uses less digits than its factorization.

6806004672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3916 counting only the distinct ones).

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

The square root of 6806004672 is about 82498.5131502380. The cubic root of 6806004672 is about 1895.0939608058.

The spelling of 6806004672 in words is "six billion, eight hundred six million, four thousand, six hundred seventy-two".