8066730672 has 480 divisors, whose sum is σ = 30574043136. Its totient is φ = 1917388800.

The previous prime is 8066730671. The next prime is 8066730703. The reversal of 8066730672 is 2760376608.

It is not an unprimeable number, because it can be changed into a prime (8066730671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27531358 + ... + 27531650.

Almost surely, 2^8066730672 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 8066730672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15287021568).

8066730672 is an abundant number, since it is smaller than the sum of its proper divisors (22507312464).

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

8066730672 is a wasteful number, since it uses less digits than its factorization.

8066730672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 8066730672 is about 89814.9802204510. The cubic root of 8066730672 is about 2005.5454988431.

The spelling of 8066730672 in words is "eight billion, sixty-six million, seven hundred thirty thousand, six hundred seventy-two".