6678816768 has 480 divisors, whose sum is σ = 22753130400. Its totient is φ = 1934917632.

The previous prime is 6678816763. The next prime is 6678816769. The reversal of 6678816768 is 8676188766.

It is not an unprimeable number, because it can be changed into a prime (6678816763) by changing a digit.

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, 40974255 + ... + 40974417.

It is an arithmetic number, because the mean of its divisors is an integer number (47402355).

Almost surely, 2^6678816768 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 6678816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376565200).

6678816768 is an abundant number, since it is smaller than the sum of its proper divisors (16074313632).

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

6678816768 is a wasteful number, since it uses less digits than its factorization.

6678816768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 200 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The square root of 6678816768 is about 81724.0280945574. The cubic root of 6678816768 is about 1883.2147321734.

The spelling of 6678816768 in words is "six billion, six hundred seventy-eight million, eight hundred sixteen thousand, seven hundred sixty-eight".