"super busy" is correct and can be used in written English.
You can use it to indicate a state of being incredibly busy or overwhelmed with tasks. For example: "I was super busy last week finishing up a project for work."
Exact(60)
Sorry, sorry, have just been super busy!
"We can't say we are super busy," he said.
"People are super busy and don't consider the social thing important anymore," she said.
But it's hardly a chore for me to replace that with "super busy".
"Over the years I've tried to keep myself super busy so I don't go insane.
It's very complicated, and I'm super busy writing memos and doing other things.
It's impossible to tell where the markets will be in November, when the super committee will be super busy.
Being super busy – running from one place to another and always fretting that I'm trying to pack too much in.
"After the festival, our social media got super busy and we had lots of national radio play for our single Aileen, which was surreal!" But how do you go about finding the right places to send your tunes?
"I've always had a lot of work and a good clientele, but the last three years it's been super busy," Mr. Gualtiere, a 37-year-old Yorktown resident, said.
We get it, you're super busy.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com