Home Postcodes by state WA 6504 Postcode 6504 6504 is the postcode for Mooliabeenee, WA. Localities with postcode 6504MooliabeeneeWA Postcode 6504 State or territory Western Australia (WA) Localities 1 Council area Chittering Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 6503 · Postcode 6505