8006007713 has 24 divisors (see below), whose sum is σ = 9277484160. Its totient is φ = 6884460000.

The previous prime is 8006007679. The next prime is 8006007731. The reversal of 8006007713 is 3177006008.

It is a happy number.

It is not a de Polignac number, because 8006007713 - 2¹⁶ = 8005942177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8006007713.

It is not an unprimeable number, because it can be changed into a prime (8006007413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1724231 + ... + 1728867.

It is an arithmetic number, because the mean of its divisors is an integer number (386561840).

Almost surely, 2^8006007713 is an apocalyptic number.

It is an amenable number.

8006007713 is a deficient number, since it is larger than the sum of its proper divisors (1271476447).

8006007713 is a wasteful number, since it uses less digits than its factorization.

8006007713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 8006007713 is about 89476.2969338808. The cubic root of 8006007713 is about 2000.5005174807.

The spelling of 8006007713 in words is "eight billion, six million, seven thousand, seven hundred thirteen".