Listening to meditation music (kept on all night at low volume) is soothing white noise which allows the mind to ignore other sounds like a ticking clock, sounds from the street or your partner's snoring. It's designed to put you in an alpha state which is relaxing and regenerative. It's a lullaby for adults. You may find you sleep sounder too, for you're less likely to be awakened by incidental noises.
Listening to a book on tape (kept on low all night) also works. We love being read a story, it's like being a child again. Use a book with a melodious voice and not too interesting. I have listened to Power vs. Force* over 100 times for it's over 8 hours long and his voice is deep and soothing. Plus, each sentence is instructive, so hearing a few sentences during the night is like hearing just what I needed to hear.
Repeating "Ha-ha-ha-ha-ha-ha-ha-ha-ha" silently but with your mouth open also works because it stops the hamster-wheel chatter. Thinking of things past, present or future makes us restless and unable to sleep. By repeating "Ha-ha-ha-ha-ha-ha-ha-ha" for several breaths, you'll become calm, relaxed, and soon fall back to sleep.
Remembering dreams can work, too. Again, because it accesses what you experienced while sleeping. It doesn't matter if the dreams were recent or long ago, or if you can only remember pieces of them. This keeps you resting whereas if you begin to list what you have to do, or begin to worry, or to think of some past bad memory, you become agitated. Thinking of any and all dreams you can remember puts you back into a dream-state.
Remember, just lying still with the mind quiet, your body is resting. It is almost as restorative as sleeping, so stop fretting and start resting better!
If your partner objects to music or listening to a book, wear ear buds. This has the double advantage of acting as ear plugs which helps muffle sounds.
P.S. A glass of warm or cold milk works too, drunk at bedtime or in the middle of the night, but I gained weight doing this option, so prefer the above options. Milk works because it has tryptophan which is an essential amino acid.
*Power vs. Force read by the author David R. Hawkins, M.D., Ph.D.