6804864000 has 704 divisors, whose sum is σ = 27590284800. Its totient is φ = 1640448000.

The previous prime is 6804863999. The next prime is 6804864097. The reversal of 6804864000 is 4684086.

6804864000 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

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, 38015911 + ... + 38016089.

Almost surely, 2^6804864000 is an apocalyptic number.

6804864000 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 6804864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13795142400).

6804864000 is an abundant number, since it is smaller than the sum of its proper divisors (20785420800).

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

6804864000 is a wasteful number, since it uses less digits than its factorization.

6804864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 200 counting only the distinct ones).

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

The square root of 6804864000 is about 82491.5995723201. The cubic root of 6804864000 is about 1894.9880836430.

It can be divided in two parts, 680486 and 4000, that added together give a palindrome (684486).

The spelling of 6804864000 in words is "six billion, eight hundred four million, eight hundred sixty-four thousand".