How to keep baby cool during heatwave

I have a 7 week old son and we are currently going through a heatwave. I am walking round the house in barley any clothes it's so hot!

Holding him/feeding him he gets damp/sweaty where our skin is touching :(

I have a fan so we sleep with that on at night (not directly on him) but still during the day & at night I worry that he may struggle in this heat

Any tips on keeping him cool & ok?

Thank you