There's an old saying: You can't care about the problem more than the customer.
In this case, since you are an employee, the customer is your company. You are providing a service for them.
If downtime can be fatal, and your company is large, they should actually hire some people to cover that time. You've taken too much responsibility upon yourself. You're caring about it more than they are.
You need to put your health before the health of your company. What do you think will happen to this company if you are unable to continue at work? They'll have to find someone else. Tell your boss that your boss needs to mitigate this risk by hiring additional staff to share the load or cover nights. You will help train.
If you don't think you can have this conversation, it's time to find a different job.