To keep track of free blocks in a file system, one of the two approaches is generally used, using bitmaps (bit vectors) or using linked lists. Consider that the linked list approach is used to keep track of free blocks in a file system. Assume that the disk size is \(16\) GB, block size is \(2\) KB, and block numbers used are \(32\)-bit long. A single pointer of size \(4\) bytes is used in each block of the list to point to the next block of the list. The number of blocks required to hold the free disk block numbers is ______. (answer in integer)
Note: \(1K=2^{10}\) and \(1G=2^{30}\)