How to Make It
Process sweetened condensed milk, coconut cream, and coconut milk in a blender until completely smooth, about 15 seconds; transfer mixture to a large bowl or pitcher.
Whisk in evaporated milk, rum, vanilla, ground cinnamon, and nutmeg. Cover and refrigerate until chilled, at least 2 hours or up to overnight.
Uncover mixture, and whisk well before serving. Fill glasses with ice, and add 3/4 cup coquito to each glass. Garnish with nutmeg. If desired, serve with cinnamon sticks.