6804806400 has 486 divisors, whose sum is σ = 28312492572. Its totient is φ = 1554739200.

The previous prime is 6804806387. The next prime is 6804806417. The reversal of 6804806400 is 46084086.

6804806400 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 8 + 0 + 640 + 0 = 666.

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

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 2821195 + ... + 2823605.

Almost surely, 2^6804806400 is an apocalyptic number.

6804806400 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 6804806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156246286).

6804806400 is an abundant number, since it is smaller than the sum of its proper divisors (21507686172).

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

6804806400 is a wasteful number, since it uses less digits than its factorization.

6804806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2428 counting only the distinct ones).

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

The square root of 6804806400 is about 82491.2504451230. The cubic root of 6804806400 is about 1894.9827368978.

The spelling of 6804806400 in words is "six billion, eight hundred four million, eight hundred six thousand, four hundred".