8190600768 has 392 divisors, whose sum is σ = 28783848960. Its totient is φ = 2261882880.

The previous prime is 8190600707. The next prime is 8190600773. The reversal of 8190600768 is 8670060918.

It is a happy number.

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 55 ways as a sum of consecutive naturals, for example, 10123948 + ... + 10124756.

Almost surely, 2^8190600768 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 8190600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391924480).

8190600768 is an abundant number, since it is smaller than the sum of its proper divisors (20593248192).

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

8190600768 is an equidigital number, since it uses as much as digits as its factorization.

8190600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8190600768 is about 90501.9379240025. The cubic root of 8190600768 is about 2015.7588997386.

The spelling of 8190600768 in words is "eight billion, one hundred ninety million, six hundred thousand, seven hundred sixty-eight".