6804172800 has 624 divisors, whose sum is σ = 26326529280. Its totient is φ = 1719336960.

The previous prime is 6804172789. The next prime is 6804172801. The reversal of 6804172800 is 82714086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6804172801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63590347 + ... + 63590453.

Almost surely, 2^6804172800 is an apocalyptic number.

6804172800 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 6804172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13163264640).

6804172800 is an abundant number, since it is smaller than the sum of its proper divisors (19522356480).

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

6804172800 is a wasteful number, since it uses less digits than its factorization.

6804172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 6804172800 is about 82487.4099484279. The cubic root of 6804172800 is about 1894.9239207093.

Adding to 6804172800 its reverse (82714086), we get a palindrome (6886886886).

The spelling of 6804172800 in words is "six billion, eight hundred four million, one hundred seventy-two thousand, eight hundred".