Alaska is about 6,613 times bigger than American Samoa.

American Samoa is approximately 224 sq km, while Alaska is approximately 1,481,348 sq km, making Alaska 661,216% larger than American Samoa. Meanwhile, the population of American Samoa is ~45,443 people (664,788 more people live in Alaska).
Tip: This to-scale comparison of American Samoa vs. Alaska uses the Mercator projection, which distorts the size of regions near the poles.