6818960928 has 96 divisors (see below), whose sum is σ = 19326638016. Its totient is φ = 2092704768.

The previous prime is 6818960927. The next prime is 6818960957. The reversal of 6818960928 is 8290698186.

It is a Cunningham number, because it is equal to 82577²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6818960927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488575 + ... + 502337.

It is an arithmetic number, because the mean of its divisors is an integer number (201319146).

Almost surely, 2^6818960928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6818960928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9663319008).

6818960928 is an abundant number, since it is smaller than the sum of its proper divisors (12507677088).

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

6818960928 is a wasteful number, since it uses less digits than its factorization.

6818960928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14186 (or 14178 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The square root of 6818960928 is about 82576.9999939450. Note that the first 5 decimals coincide. The cubic root of 6818960928 is about 1896.2957309007.

The spelling of 6818960928 in words is "six billion, eight hundred eighteen million, nine hundred sixty thousand, nine hundred twenty-eight".