You are obviously breastfeeding very well if your baby is quite happy to go for so long at night. It is quite right to let your baby feed when he wants to feed. This is called feeding on demand and is essential to good breastfeeding. If he were hungry, he would wake and ask to be fed. If you let your baby feed when he wants to and he will sleep through the night for you, then you can both get a good rest. You can cope with anything in the day if you get a good night’s sleep!