Multinomial size parameter bounds in R

In R, when I use rmultinom() I get errors when the size parameter is very big (e.g., 6227020800). Since I would like to study the long term behavior of a random experiment in cases where the size parameter of my multinomial distribution gets really big and very quick, is there a way to get around the limits for the size parameter?

Are there packages that allow a greater size for multinomial distribution generators?