Hi,

Your computer would be able to ping, its your Router that blocks ping requests, anybody outside your network would not be able to ping your router, in other words your computer. But computers within the same network, will be able to ping each other.

So if you try any software they would still tell you your computer will be able to ping. In order to be sure you would have t ping your External IP address (Whatismyip.com) from any other computer from the internet. Again there could be your ISP firewall blocking ping requests.

Hope this helps