The shutter count is written in the header of each file the camera writes. So, it is a unique number and always there. Regular programs remove this header information though when processing or saving the files.
But you can simply drag a raw file (.arw) or an original JPG written by your Sony camera into your browser when you have this tool open: http://tools.science.si/
They say a camera is good to go until 250,000 shutter releases. I am not sure how precise this number is, but it seems, I am all good to go.
The image won't get uploaded to anywhere. Your browser simply reads the header and outputs the values. As you can see in my test, luckily I didn't need my backup camera much yet. It has less than 2,000 shutter releases.