4791964128 has 192 divisors, whose sum is σ = 15243153408. Its totient is φ = 1288949760.

The previous prime is 4791964087. The next prime is 4791964157. The reversal of 4791964128 is 8214691974.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767676 + ... + 773892.

It is an arithmetic number, because the mean of its divisors is an integer number (79391424).

Almost surely, 2^4791964128 is an apocalyptic number.

4791964128 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 4791964128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7621576704).

4791964128 is an abundant number, since it is smaller than the sum of its proper divisors (10451189280).

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

4791964128 is a wasteful number, since it uses less digits than its factorization.

4791964128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6297 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 4791964128 is about 69224.0140991549. The cubic root of 4791964128 is about 1685.9234552225.

The spelling of 4791964128 in words is "four billion, seven hundred ninety-one million, nine hundred sixty-four thousand, one hundred twenty-eight".