6804345600 has 648 divisors, whose sum is σ = 27133732080. Its totient is φ = 1667727360.

The previous prime is 6804345571. The next prime is 6804345619. The reversal of 6804345600 is 65434086.

6804345600 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 3 + 45 + 600 = 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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29203084 + ... + 29203316.

Almost surely, 2^6804345600 is an apocalyptic number.

6804345600 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 6804345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13566866040).

6804345600 is an abundant number, since it is smaller than the sum of its proper divisors (20329386480).

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

6804345600 is a wasteful number, since it uses less digits than its factorization.

6804345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6804345600 is about 82488.4573743503. The cubic root of 6804345600 is about 1894.9399618501.

Adding to 6804345600 its reverse (65434086), we get a palindrome (6869779686).

The spelling of 6804345600 in words is "six billion, eight hundred four million, three hundred forty-five thousand, six hundred".