7688856768 has 112 divisors (see below), whose sum is σ = 22152864000. Its totient is φ = 2344301568.

The previous prime is 7688856767. The next prime is 7688856793. The reversal of 7688856768 is 8676588867.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7688856767) 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, 69453 + ... + 142131.

Almost surely, 2^7688856768 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 7688856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11076432000).

7688856768 is an abundant number, since it is smaller than the sum of its proper divisors (14464007232).

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

7688856768 is a wasteful number, since it uses less digits than its factorization.

7688856768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72742 (or 72732 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 69.

The square root of 7688856768 is about 87686.1264283011. The cubic root of 7688856768 is about 1973.7277940843.

The spelling of 7688856768 in words is "seven billion, six hundred eighty-eight million, eight hundred fifty-six thousand, seven hundred sixty-eight".