To close the scale of the Heroku application, web processes are processed at 0:
heroku ps: scale web = 0
See the Dev article on usage and billing : "A simple web speaker continues to be charged." I believe that the service regime will continue to gain time; it just serves a static page to visitors instead of serving your application.
Remember that each application receives 750 free payment hours per month . Depending on your intended use, this may mean that you do not need to close (i.e. if you plan to run only one dino for the whole month).
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