7668693360 has 160 divisors (see below), whose sum is σ = 27804768000. Its totient is φ = 1937343744.

The previous prime is 7668693323. The next prime is 7668693391. The reversal of 7668693360 is 633968667.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 7668693297 and 7668693306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52390 + ... + 134469.

It is an arithmetic number, because the mean of its divisors is an integer number (173779800).

Almost surely, 2^7668693360 is an apocalyptic number.

It is an amenable number.

7668693360 is an abundant number, since it is smaller than the sum of its proper divisors (20136074640).

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

7668693360 is a wasteful number, since it uses less digits than its factorization.

7668693360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186900 (or 186888 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 7668693360 is about 87571.0760468318. The cubic root of 7668693360 is about 1972.0009696257. Note that the first 3 decimals are identical.

The spelling of 7668693360 in words is "seven billion, six hundred sixty-eight million, six hundred ninety-three thousand, three hundred sixty".