8072064306 has 48 divisors (see below), whose sum is σ = 17584257600. Its totient is φ = 2676142944.

The previous prime is 8072064293. The next prime is 8072064311. The reversal of 8072064306 is 6034602708.

8072064306 is a `hidden beast` number, since 8 + 0 + 7 + 2 + 0 + 643 + 0 + 6 = 666.

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, 4061445 + ... + 4063431.

It is an arithmetic number, because the mean of its divisors is an integer number (366338700).

Almost surely, 2^8072064306 is an apocalyptic number.

8072064306 is an abundant number, since it is smaller than the sum of its proper divisors (9512193294).

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

8072064306 is a wasteful number, since it uses less digits than its factorization.

8072064306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 8072064306 is about 89844.6676547918. The cubic root of 8072064306 is about 2005.9874163690.

The spelling of 8072064306 in words is "eight billion, seventy-two million, sixty-four thousand, three hundred six".