4817968128 has 220 divisors, whose sum is σ = 14890942440. Its totient is φ = 1549836288.

The previous prime is 4817968091. The next prime is 4817968163. The reversal of 4817968128 is 8218697184.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 2404375 + ... + 2406377.

It is an arithmetic number, because the mean of its divisors is an integer number (67686102).

Almost surely, 2^4817968128 is an apocalyptic number.

4817968128 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 4817968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7445471220).

4817968128 is an abundant number, since it is smaller than the sum of its proper divisors (10072974312).

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

4817968128 is a wasteful number, since it uses less digits than its factorization.

4817968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2037 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 4817968128 is about 69411.5849696576. The cubic root of 4817968128 is about 1688.9675577185.

The spelling of 4817968128 in words is "four billion, eight hundred seventeen million, nine hundred sixty-eight thousand, one hundred twenty-eight".