6808665600 has 720 divisors, whose sum is σ = 27704476800. Its totient is φ = 1642291200.

The previous prime is 6808665581. The next prime is 6808665601. The reversal of 6808665600 is 65668086.

6808665600 is a `hidden beast` number, since 6 + 8 + 0 + 86 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6808665601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 34214301 + ... + 34214499.

It is an arithmetic number, because the mean of its divisors is an integer number (38478440).

Almost surely, 2^6808665600 is an apocalyptic number.

6808665600 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 6808665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13852238400).

6808665600 is an abundant number, since it is smaller than the sum of its proper divisors (20895811200).

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

6808665600 is a wasteful number, since it uses less digits than its factorization.

6808665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6808665600 is about 82514.6387012632. The cubic root of 6808665600 is about 1895.3409021363.

The spelling of 6808665600 in words is "six billion, eight hundred eight million, six hundred sixty-five thousand, six hundred".