Can you use a 60 amp breaker for a electric stove?

If this is the main service in your home then you probably could not run both appliances at the same time. A range has a 40 amp breaker and a dryer has a 30 amp breaker protecting the feeders to these appliances. Even though both appliances do not draw the maximum current that the breaker allows it would be close. With other devices in use through out the home with the range and dryer on at the same time it will probably trip the panels 60 amp breaker.