In a large bowl with a hand mixer (or in the bowl of your stand mixer fitted with the paddle attachment), mix the cream cheese and sugar together on medium-low speed until creamy and smooth.
Add the pumpkin, sour cream, pumpkin spice, and vanilla and mix well, scraping down the sides of the bowl to make sure everything is incorporated.
Add the eggs one at a time, mixing well and scraping down the sides of the bowl after each addition. Don't over-mix at this stage - over-mixing adds too much air into the batter which can create air bubbles as the cheesecake bakes.
Pour the filling into the prepared crust and smooth out the top.
Bake for about 35 minutes at 325 degrees Fahrenheit (165 degrees Celsius), or until the top has lost its shine and the centre is just a bit jiggly.
Remove the cheesecake from the oven and let cool in the pan until cooled completely.
Place the pan in the fridge (uncovered to prevent condensation) for about 2 hours before slicing into bars and serving with a dollop of whipped cream on top.