7686637645 has 32 divisors (see below), whose sum is σ = 9670814208. Its totient is φ = 5860185408.

The previous prime is 7686637619. The next prime is 7686637649. The reversal of 7686637645 is 5467366867.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7686637645 is a prime.

It is a super-3 number, since 3×7686637645³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 7686637645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7686637649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538842 + ... + 1543828.

It is an arithmetic number, because the mean of its divisors is an integer number (302212944).

Almost surely, 2^7686637645 is an apocalyptic number.

It is an amenable number.

7686637645 is a deficient number, since it is larger than the sum of its proper divisors (1984176563).

7686637645 is a wasteful number, since it uses less digits than its factorization.

7686637645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209.

The product of its digits is 30481920, while the sum is 58.

The square root of 7686637645 is about 87673.4717289101. The cubic root of 7686637645 is about 1973.5378930228.

The spelling of 7686637645 in words is "seven billion, six hundred eighty-six million, six hundred thirty-seven thousand, six hundred forty-five".