How can I remove or hide the ‘Add to Cart’ button sitewide?

add_filter('woocommerce_is_purchasable', 'wpsc_remove_or_hide_add_to_cart_button_sitewide', 10, 2);

function wpsc_remove_or_hide_add_to_cart_button_sitewide($purchasable, $product) {
    if (!is_user_logged_in()) {
        $purchasable = false;
    }

    return $purchasable;
}