4768347168 has 162 divisors, whose sum is σ = 14730361191. Its totient is φ = 1462496256.

The previous prime is 4768347161. The next prime is 4768347197. The reversal of 4768347168 is 8617438674.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4768347168 is a `hidden beast` number, since 476 + 8 + 3 + 4 + 7 + 168 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 445547664 + 4322799504 = 21108^2 + 65748^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=48828.

It is not an unprimeable number, because it can be changed into a prime (4768347161) 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 26 ways as a sum of consecutive naturals, for example, 15234180 + ... + 15234492.

Almost surely, 2^4768347168 is an apocalyptic number.

4768347168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768347168

4768347168 is an abundant number, since it is smaller than the sum of its proper divisors (9962014023).

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

4768347168 is a wasteful number, since it uses less digits than its factorization.

4768347168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 331 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 4768347168 is about 69053.2198235535. The cubic root of 4768347168 is about 1683.1492290066.

The spelling of 4768347168 in words is "four billion, seven hundred sixty-eight million, three hundred forty-seven thousand, one hundred sixty-eight".