Is it possible to \tag as one thing but provide a different output for \ref?

Question

Specifically, I'm wanting to \tag an equation with just "#", but then have \ref output "Equation #". The way I see this working is something like

\begin{equation}
a=b\tag[Equation #]{#}\label{eq:#}
\end{equation}

Did you know that a=b? (See \ref{eq:#}.)

Here, the output I have in mind would look like:

a=b (#)

Did you know that a=b? (See Equation #.)

I suspect this may seem like a silly question, since I can just type "See Equation \ref{eq:#}" to achieve the result I want in parentheses. The reason I'd like to do this the way I'm asking is because I'm using QuickLaTeX in WordPress, and my \ref{} adds a hyperlink. I would like the hyperlink to be displayed over the whole "Equation 1.6" rather than just the "1.6".

Anyway, it seems like it should be entirely possible for \tag to include an option to tag an equation one way, but then produce different text through \ref, but I can't seem to figure out how to do that. Any help would be much appreciated!

Answer 1

Rather than re-invent the wheel in terms of modifying \tag, \label, and/or \ref, simply load the cleveref package and use that package's \cref command. (Use \Cref if you want to upper-case the first letter in "equation".)

By the way, do not use TeX-special characters such as # in the argument of \label, \ref, and \cref.

A full MWE:

\documentclass{article}
\usepackage{amsmath} % for '\tag' macro
\usepackage[noabbrev]{cleveref}
\begin{document}

\begin{equation}
a=b\tag{\#}\label{eq:hashtag}
\end{equation}

Did you know that $a=b$? See \cref{eq:hashtag}.
\end{document}