7864500007 has 96 divisors (see below), whose sum is σ = 10718822400. Its totient is φ = 5629792896.

The previous prime is 7864500001. The next prime is 7864500011. The reversal of 7864500007 is 7000054687.

It is a happy number.

It is not a de Polignac number, because 7864500007 - 2²³ = 7856111399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7864500001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76354318 + ... + 76354420.

It is an arithmetic number, because the mean of its divisors is an integer number (111654400).

Almost surely, 2^7864500007 is an apocalyptic number.

7864500007 is a deficient number, since it is larger than the sum of its proper divisors (2854322393).

7864500007 is a wasteful number, since it uses less digits than its factorization.

7864500007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 7864500007 is about 88682.0162547063. The cubic root of 7864500007 is about 1988.6439763185.

The spelling of 7864500007 in words is "seven billion, eight hundred sixty-four million, five hundred thousand, seven".