4760166656 has 72 divisors (see below), whose sum is σ = 10882779264. Its totient is φ = 2035630080.

The previous prime is 4760166647. The next prime is 4760166679. The reversal of 4760166656 is 6566610674.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4760166656.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 898736 + ... + 904016.

It is an arithmetic number, because the mean of its divisors is an integer number (151149712).

Almost surely, 2^4760166656 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 4760166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441389632).

4760166656 is an abundant number, since it is smaller than the sum of its proper divisors (6122612608).

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

4760166656 is an equidigital number, since it uses as much as digits as its factorization.

4760166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The square root of 4760166656 is about 68993.9610110914. The cubic root of 4760166656 is about 1682.1861486857.

The spelling of 4760166656 in words is "four billion, seven hundred sixty million, one hundred sixty-six thousand, six hundred fifty-six".