6800695200 has 864 divisors, whose sum is σ = 28134449280. Its totient is φ = 1601233920.

The previous prime is 6800695163. The next prime is 6800695241. The reversal of 6800695200 is 25960086.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 295682389 + ... + 295682411.

It is an arithmetic number, because the mean of its divisors is an integer number (32563020).

Almost surely, 2^6800695200 is an apocalyptic number.

6800695200 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 6800695200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14067224640).

6800695200 is an abundant number, since it is smaller than the sum of its proper divisors (21333754080).

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

6800695200 is a wasteful number, since it uses less digits than its factorization.

6800695200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6800695200 is about 82466.3276737845. The cubic root of 6800695200 is about 1894.6010350030.

The spelling of 6800695200 in words is "six billion, eight hundred million, six hundred ninety-five thousand, two hundred".