6768664768 has 56 divisors (see below), whose sum is σ = 13976494272. Its totient is φ = 3249752064.

The previous prime is 6768664723. The next prime is 6768664849. The reversal of 6768664768 is 8674668676.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 138196 + ... + 180652.

Almost surely, 2^6768664768 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 6768664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988247136).

6768664768 is an abundant number, since it is smaller than the sum of its proper divisors (7207829504).

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

6768664768 is a wasteful number, since it uses less digits than its factorization.

6768664768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42569 (or 42559 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 64.

The square root of 6768664768 is about 82271.8953713843. The cubic root of 6768664768 is about 1891.6219075913.

The spelling of 6768664768 in words is "six billion, seven hundred sixty-eight million, six hundred sixty-four thousand, seven hundred sixty-eight".