8006680068 has 24 divisors (see below), whose sum is σ = 18718126560. Its totient is φ = 2663768640.

The previous prime is 8006680067. The next prime is 8006680103. The reversal of 8006680068 is 8600866008.

It is a super-2 number, since 2×8006680068² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8006680067) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 634078 + ... + 646581.

It is an arithmetic number, because the mean of its divisors is an integer number (779921940).

Almost surely, 2^8006680068 is an apocalyptic number.

It is an amenable number.

8006680068 is an abundant number, since it is smaller than the sum of its proper divisors (10711446492).

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

8006680068 is a wasteful number, since it uses less digits than its factorization.

8006680068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281187 (or 1281185 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 8006680068 is about 89480.0540232291. The cubic root of 8006680068 is about 2000.5565174631.

The spelling of 8006680068 in words is "eight billion, six million, six hundred eighty thousand, sixty-eight".