7668359712 has 144 divisors (see below), whose sum is σ = 24505685568. Its totient is φ = 2256883200.

The previous prime is 7668359687. The next prime is 7668359719. The reversal of 7668359712 is 2179538667.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7668359719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41587 + ... + 130637.

It is an arithmetic number, because the mean of its divisors is an integer number (170178372).

Almost surely, 2^7668359712 is an apocalyptic number.

7668359712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7668359712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12252842784).

7668359712 is an abundant number, since it is smaller than the sum of its proper divisors (16837325856).

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

7668359712 is a wasteful number, since it uses less digits than its factorization.

7668359712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89103 (or 89092 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 7668359712 is about 87569.1710135479. The cubic root of 7668359712 is about 1971.9723700677.

The spelling of 7668359712 in words is "seven billion, six hundred sixty-eight million, three hundred fifty-nine thousand, seven hundred twelve".