4688842752 has 312 divisors, whose sum is σ = 15292662528. Its totient is φ = 1371340800.

The previous prime is 4688842751. The next prime is 4688842759. The reversal of 4688842752 is 2572488864.

Its product of digits (6881280) is a multiple of the sum of its prime divisors (420).

It is not an unprimeable number, because it can be changed into a prime (4688842751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12570438 + ... + 12570810.

It is an arithmetic number, because the mean of its divisors is an integer number (49014944).

Almost surely, 2^4688842752 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 4688842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7646331264).

4688842752 is an abundant number, since it is smaller than the sum of its proper divisors (10603819776).

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

4688842752 is a wasteful number, since it uses less digits than its factorization.

4688842752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 420 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 4688842752 is about 68475.1250601268. The cubic root of 4688842752 is about 1673.7421612706.

The spelling of 4688842752 in words is "four billion, six hundred eighty-eight million, eight hundred forty-two thousand, seven hundred fifty-two".