Please close(quit) Creative Cloud App and then check for update.
If that does not help Please post Help>>System info content here.
LR CC and 6 are the exact same download. It is how you sign in that changes it from CC to 6 or 6 to CC.
Sign in with an Adobe ID that is associated with a subscription plan and LR becomes the CC version.
Sign in with an Adobe ID that is NOT associated with a subscription plan, then enter a serial number, LR becomes the 6 version.
Also here is a direct link to downloading 6.
This is utterly ridiculous. Every stinking time I post a link in a reply that reply gets moderated. The link is to an ADOBE WEBPAGE. Not some SPAM site.
MY GOD get this fixed.
Thank you for your answer.
By re downloading LR 6.0, I have been able to download LR 6.4.
Perfect and thank you.