6808608000 has 432 divisors, whose sum is σ = 25070363136. Its totient is φ = 1773465600.

The previous prime is 6808607987. The next prime is 6808608031. The reversal of 6808608000 is 8068086.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13535749 + ... + 13536251.

It is an arithmetic number, because the mean of its divisors is an integer number (58033248).

Almost surely, 2^6808608000 is an apocalyptic number.

6808608000 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 6808608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12535181568).

6808608000 is an abundant number, since it is smaller than the sum of its proper divisors (18261755136).

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

6808608000 is a wasteful number, since it uses less digits than its factorization.

6808608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6808608000 is about 82514.2896715472. The cubic root of 6808608000 is about 1895.3355573816.

The spelling of 6808608000 in words is "six billion, eight hundred eight million, six hundred eight thousand".