7668558064608 has 288 divisors, whose sum is σ = 23804029418400. Its totient is φ = 2155049680896.

The previous prime is 7668558064589. The next prime is 7668558064679. The reversal of 7668558064608 is 8064608558667.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70190248 + ... + 70299416.

It is an arithmetic number, because the mean of its divisors is an integer number (82652879925).

Almost surely, 2^{7668558064608} 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 7668558064608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902014709200).

7668558064608 is an abundant number, since it is smaller than the sum of its proper divisors (16135471353792).

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

7668558064608 is a wasteful number, since it uses less digits than its factorization.

7668558064608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109442 (or 109427 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 69.

The spelling of 7668558064608 in words is "seven trillion, six hundred sixty-eight billion, five hundred fifty-eight million, sixty-four thousand, six hundred eight".