6804004086 has 96 divisors (see below), whose sum is σ = 16360081920. Its totient is φ = 2026440000.

The previous prime is 6804004073. The next prime is 6804004087.

6804004086 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6804004086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6804004087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3925276 + ... + 3927008.

It is an arithmetic number, because the mean of its divisors is an integer number (170417520).

Almost surely, 2^6804004086 is an apocalyptic number.

6804004086 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6804004086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180040960).

6804004086 is an abundant number, since it is smaller than the sum of its proper divisors (9556077834).

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

6804004086 is a wasteful number, since it uses less digits than its factorization.

6804004086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6804004086 is about 82486.3872769319. The cubic root of 6804004086 is about 1894.9082586126.

It can be divided in two parts, 680400 and 4086, that added together give a palindrome (684486).

The spelling of 6804004086 in words is "six billion, eight hundred four million, four thousand, eighty-six".