8009083368 has 384 divisors, whose sum is σ = 27474370560. Its totient is φ = 2071872000.

The previous prime is 8009083343. The next prime is 8009083417. The reversal of 8009083368 is 8633809008.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7340503 + ... + 7341593.

It is an arithmetic number, because the mean of its divisors is an integer number (71547840).

Almost surely, 2^8009083368 is an apocalyptic number.

8009083368 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 8009083368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737185280).

8009083368 is an abundant number, since it is smaller than the sum of its proper divisors (19465287192).

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

8009083368 is a wasteful number, since it uses less digits than its factorization.

8009083368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8009083368 is about 89493.4822654700. The cubic root of 8009083368 is about 2000.7566610293.

The spelling of 8009083368 in words is "eight billion, nine million, eighty-three thousand, three hundred sixty-eight".