6804885600 has 288 divisors, whose sum is σ = 25138391040. Its totient is φ = 1775761920.

The previous prime is 6804885541. The next prime is 6804885611. The reversal of 6804885600 is 65884086.

6804885600 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 88 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1011849 + ... + 1018551.

It is an arithmetic number, because the mean of its divisors is an integer number (87286080).

Almost surely, 2^6804885600 is an apocalyptic number.

6804885600 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 6804885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12569195520).

6804885600 is an abundant number, since it is smaller than the sum of its proper divisors (18333505440).

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

6804885600 is a wasteful number, since it uses less digits than its factorization.

6804885600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 6804885600 is about 82491.7304946381. The cubic root of 6804885600 is about 1894.9900886647.

The spelling of 6804885600 in words is "six billion, eight hundred four million, eight hundred eighty-five thousand, six hundred".