7116588864 has 504 divisors, whose sum is σ = 26560759680. Its totient is φ = 1781176320.

The previous prime is 7116588863. The next prime is 7116588877. The reversal of 7116588864 is 4688856117.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 7116588864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7116588863) 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 71 ways as a sum of consecutive naturals, for example, 14148037 + ... + 14148539.

It is an arithmetic number, because the mean of its divisors is an integer number (52699920).

Almost surely, 2^7116588864 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 7116588864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280379840).

7116588864 is an abundant number, since it is smaller than the sum of its proper divisors (19444170816).

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

7116588864 is a wasteful number, since it uses less digits than its factorization.

7116588864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 555 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 7116588864 is about 84359.8770980613. The cubic root of 7116588864 is about 1923.4930682680.

The spelling of 7116588864 in words is "seven billion, one hundred sixteen million, five hundred eighty-eight thousand, eight hundred sixty-four".