8005508368 has 120 divisors (see below), whose sum is σ = 18436070016. Its totient is φ = 3338150400.

The previous prime is 8005508351. The next prime is 8005508429. The reversal of 8005508368 is 8638055008.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5382921 + ... + 5384407.

Almost surely, 2^8005508368 is an apocalyptic number.

8005508368 is a gapful number since it is divisible by the number (88) 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 8005508368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9218035008).

8005508368 is an abundant number, since it is smaller than the sum of its proper divisors (10430561648).

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

8005508368 is a wasteful number, since it uses less digits than its factorization.

8005508368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 8005508368 is about 89473.5065144985. The cubic root of 8005508368 is about 2000.4589253524.

The spelling of 8005508368 in words is "eight billion, five million, five hundred eight thousand, three hundred sixty-eight".