4788085632 has 256 divisors, whose sum is σ = 14831942400. Its totient is φ = 1352499200.

The previous prime is 4788085543. The next prime is 4788085663. The reversal of 4788085632 is 2365808874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 9406594 + ... + 9407102.

It is an arithmetic number, because the mean of its divisors is an integer number (57937275).

Almost surely, 2^4788085632 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 4788085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415971200).

4788085632 is an abundant number, since it is smaller than the sum of its proper divisors (10043856768).

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

4788085632 is a wasteful number, since it uses less digits than its factorization.

4788085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 4788085632 is about 69195.9943349324. The cubic root of 4788085632 is about 1685.4684843502.

The spelling of 4788085632 in words is "four billion, seven hundred eighty-eight million, eighty-five thousand, six hundred thirty-two".