4782068200 has 192 divisors, whose sum is σ = 14405328000. Its totient is φ = 1433687040.

The previous prime is 4782068191. The next prime is 4782068201. The reversal of 4782068200 is 28602874.

It is a self number, because there is not a number n which added to its sum of digits gives 4782068200.

It is not an unprimeable number, because it can be changed into a prime (4782068201) 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 47 ways as a sum of consecutive naturals, for example, 338886 + ... + 352714.

It is an arithmetic number, because the mean of its divisors is an integer number (75027750).

Almost surely, 2^4782068200 is an apocalyptic number.

4782068200 is a gapful number since it is divisible by the number (40) 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 4782068200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202664000).

4782068200 is an abundant number, since it is smaller than the sum of its proper divisors (9623259800).

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

4782068200 is a wasteful number, since it uses less digits than its factorization.

4782068200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13884 (or 13875 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 4782068200 is about 69152.4995932902. The cubic root of 4782068200 is about 1684.7621168874.

The spelling of 4782068200 in words is "four billion, seven hundred eighty-two million, sixty-eight thousand, two hundred".