Well I say that peak power production in the sun is like a dinosaur.

Quick, we can add to wikipedia "peak power production in the sun has also been compared to a dinosaur." It will be true! We can even add a citation, which that previous factoid doesn't have!

But in all seriousness, the sun is huge, so the energy per unit volume they quote doesn't seem that unreasonable. It's all about surface area to volume ratios, a ratio which scales like the 1/(radius of the sun). The radius of the sun is huge, which means that a small amount of energy produced per unit volume of the sun leads to an immense amount of power radiated per unit area. If you plug in the numbers on that wiki article, I think you get on the order of 10 watts/m

^{3} generated in the sun's core, but 50,000 watts/m

^{2} coming out of the sun's surface. Therefore a peak power of ~200 watts/m

^{3} doesn't seem so out of line...