8001384768 has 210 divisors, whose sum is σ = 25686278574. Its totient is φ = 2461694976.

The previous prime is 8001384749. The next prime is 8001384793. The reversal of 8001384768 is 8674831008.

It can be written as a sum of positive squares in 3 ways, for example, as 209438784 + 7791945984 = 14472^2 + 88272^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 871530 + ... + 880662.

Almost surely, 2^8001384768 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 8001384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843139287).

8001384768 is an abundant number, since it is smaller than the sum of its proper divisors (17684893806).

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

8001384768 is a wasteful number, since it uses less digits than its factorization.

8001384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9183 (or 9151 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8001384768 is about 89450.4598534854. The cubic root of 8001384768 is about 2000.1153906757.

The spelling of 8001384768 in words is "eight billion, one million, three hundred eighty-four thousand, seven hundred sixty-eight".