7665934848 has 320 divisors, whose sum is σ = 25416623232. Its totient is φ = 2017198080.

The previous prime is 7665934817. The next prime is 7665934909. The reversal of 7665934848 is 8484395667.

It is a junction number, because it is equal to n+sod(n) for n = 7665934791 and 7665934800.

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 31 ways as a sum of consecutive naturals, for example, 3732990 + ... + 3735042.

Almost surely, 2^7665934848 is an apocalyptic number.

7665934848 is a gapful number since it is divisible by the number (78) 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 7665934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12708311616).

7665934848 is an abundant number, since it is smaller than the sum of its proper divisors (17750688384).

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

7665934848 is a wasteful number, since it uses less digits than its factorization.

7665934848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2099 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The square root of 7665934848 is about 87555.3244982851. The cubic root of 7665934848 is about 1971.7644912382.

The spelling of 7665934848 in words is "seven billion, six hundred sixty-five million, nine hundred thirty-four thousand, eight hundred forty-eight".