8000681008 has 80 divisors (see below), whose sum is σ = 16970342400. Its totient is φ = 3642087680.

The previous prime is 8000680999. The next prime is 8000681009. The reversal of 8000681008 is 8001860008.

It is not an unprimeable number, because it can be changed into a prime (8000681009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752433 + ... + 762991.

It is an arithmetic number, because the mean of its divisors is an integer number (212129280).

Almost surely, 2^8000681008 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 8000681008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485171200).

8000681008 is an abundant number, since it is smaller than the sum of its proper divisors (8969661392).

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

8000681008 is a wasteful number, since it uses less digits than its factorization.

8000681008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 8000681008 is about 89446.5259694305. The cubic root of 8000681008 is about 2000.0567490564.

The spelling of 8000681008 in words is "eight billion, six hundred eighty-one thousand, eight".