7668329760 has 576 divisors, whose sum is σ = 32515741440. Its totient is φ = 1602478080.

The previous prime is 7668329699. The next prime is 7668329771. The reversal of 7668329760 is 679238667.

It is a Cunningham number, because it is equal to 87569²-1.

It is a junction number, because it is equal to n+sod(n) for n = 7668329697 and 7668329706.

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 95 ways as a sum of consecutive naturals, for example, 18214350 + ... + 18214770.

It is an arithmetic number, because the mean of its divisors is an integer number (56450940).

Almost surely, 2^7668329760 is an apocalyptic number.

7668329760 is a gapful number since it is divisible by the number (70) 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 7668329760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257870720).

7668329760 is an abundant number, since it is smaller than the sum of its proper divisors (24847411680).

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

7668329760 is a wasteful number, since it uses less digits than its factorization.

7668329760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 7668329760 is about 87568.9999942902. Note that the first 5 decimals coincide. The cubic root of 7668329760 is about 1971.9698026088.

The spelling of 7668329760 in words is "seven billion, six hundred sixty-eight million, three hundred twenty-nine thousand, seven hundred sixty".