Though superlatives such as "softest" may be at least somewhat subjective, the chinchilla is typically believed to have the softest fur of any animal on the planet. The chinchilla is a small rodent that has somewhat unique fur; in addition to being soft, the chinchilla does not produce dander.
Chinchilla fur is also very dense. While human hair follicles tend to produce just a couple of hairs per follicle, chinchilla follicles can produce as many as 50 hairs. These tiny animals are kept as pets, but they are also hunted and cultivated in order to make products from their fur, including fur coats and hats.