6808575118464 has 512 divisors, whose sum is σ = 23302478707200. Its totient is φ = 1940829880320.

The previous prime is 6808575118453. The next prime is 6808575118487. The reversal of 6808575118464 is 4648115758086.

It is a happy number.

6808575118464 is a `hidden beast` number, since 6 + 8 + 0 + 8 + 57 + 5 + 118 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 903349704 + ... + 903357240.

It is an arithmetic number, because the mean of its divisors is an integer number (45512653725).

Almost surely, 2^{6808575118464} is an apocalyptic number.

6808575118464 is a gapful number since it is divisible by the number (64) 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 6808575118464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11651239353600).

6808575118464 is an abundant number, since it is smaller than the sum of its proper divisors (16493903588736).

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

6808575118464 is an frugal number, since it uses more digits than its factorization.

6808575118464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8040 (or 8010 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 6808575118464 in words is "six trillion, eight hundred eight billion, five hundred seventy-five million, one hundred eighteen thousand, four hundred sixty-four".