4768688306 has 16 divisors (see below), whose sum is σ = 7222352280. Its totient is φ = 2361260160.

The previous prime is 4768688273. The next prime is 4768688339. The reversal of 4768688306 is 6038868674.

It is an interprime number because it is at equal distance from previous prime (4768688273) and next prime (4768688339).

It can be written as a sum of positive squares in 4 ways, for example, as 2344012225 + 2424676081 = 48415^2 + 49241^2 .

It is a super-2 number, since 2×4768688306² = 45480776319562299272, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545240 + ... + 553916.

Almost surely, 2^4768688306 is an apocalyptic number.

4768688306 is a deficient number, since it is larger than the sum of its proper divisors (2453663974).

4768688306 is a wasteful number, since it uses less digits than its factorization.

4768688306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11309.

The product of its (nonzero) digits is 9289728, while the sum is 56.

The square root of 4768688306 is about 69055.6898886688. The cubic root of 4768688306 is about 1683.1893667769.

The spelling of 4768688306 in words is "four billion, seven hundred sixty-eight million, six hundred eighty-eight thousand, three hundred six".