Currently there are 10 native SuperZoom lenses for Sony A6400 and all of these lenses are autofocus (AF) type.
Sony A6400 doesn't have a sensor based image stabilization system but 9 of these SuperZoom lenses features optical image stabilization.
Since Sony A6400 has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 3 SuperZoom lenses with Weather Sealings.