Try putting this in your functions file, and then place <?php $attachment_count; ?>
in a template file.
function attachment_count() {
global $post;
//Get all attachments
$attachments = get_posts( array(
'post_type' => 'attachment',
'posts_per_page' => -1
) );
$att_count = 0;
if ( $attachments ) {
foreach ( $attachments as $attachment ) {
// Check for the post type based on individual attachment's parent
if ( 'gallery' == get_post_type($attachment->post_parent) ) {
$att_count = $att_count + 1;
}
}
echo $att_count;
}
}