6848686080 has 480 divisors, whose sum is σ = 25686460800. Its totient is φ = 1742045184.

The previous prime is 6848686049. The next prime is 6848686093. The reversal of 6848686080 is 806868486.

6848686080 is a `hidden beast` number, since 6 + 8 + 486 + 86 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19076941 + ... + 19077299.

It is an arithmetic number, because the mean of its divisors is an integer number (53513460).

Almost surely, 2^6848686080 is an apocalyptic number.

6848686080 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 6848686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843230400).

6848686080 is an abundant number, since it is smaller than the sum of its proper divisors (18837774720).

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

6848686080 is a wasteful number, since it uses less digits than its factorization.

6848686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 6848686080 is about 82756.7887245512. The cubic root of 6848686080 is about 1899.0471750670.

The spelling of 6848686080 in words is "six billion, eight hundred forty-eight million, six hundred eighty-six thousand, eighty".