8967303072 has 384 divisors, whose sum is σ = 34088947200. Its totient is φ = 2225553408.

The previous prime is 8967303067. The next prime is 8967303143. The reversal of 8967303072 is 2703037698.

It is a happy number.

8967303072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 1333254 + ... + 1339962.

It is an arithmetic number, because the mean of its divisors is an integer number (88773300).

Almost surely, 2^8967303072 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 8967303072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17044473600).

8967303072 is an abundant number, since it is smaller than the sum of its proper divisors (25121644128).

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

8967303072 is a wasteful number, since it uses less digits than its factorization.

8967303072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 8967303072 is about 94695.8450619667. The cubic root of 8967303072 is about 2077.5617904441.

The spelling of 8967303072 in words is "eight billion, nine hundred sixty-seven million, three hundred three thousand, seventy-two".