6808354560 has 864 divisors, whose sum is σ = 28927342080. Its totient is φ = 1500954624.

The previous prime is 6808354549. The next prime is 6808354583. The reversal of 6808354560 is 654538086.

6808354560 is a `hidden beast` number, since 6 + 8 + 0 + 83 + 5 + 4 + 560 = 666.

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 (45).

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 95 ways as a sum of consecutive naturals, for example, 115395811 + ... + 115395869.

It is an arithmetic number, because the mean of its divisors is an integer number (33480720).

Almost surely, 2^6808354560 is an apocalyptic number.

6808354560 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 6808354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463671040).

6808354560 is an abundant number, since it is smaller than the sum of its proper divisors (22118987520).

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

6808354560 is an equidigital number, since it uses as much as digits as its factorization.

6808354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6808354560 is about 82512.7539232572. The cubic root of 6808354560 is about 1895.3120401025.

The spelling of 6808354560 in words is "six billion, eight hundred eight million, three hundred fifty-four thousand, five hundred sixty".