You could customize the file:
/your_secret_admin/invoice.php

with the code in RED:
Code:
      <tr>
        <td class="main"><b><?php echo ENTRY_PAYMENT_METHOD; ?></b></td>
        <td class="main"><?php echo $order->info['payment_method']; ?></td>
      </tr>
<?php
// bof: number of orders
         $customers_orders = $db->Execute("select o.orders_id,  o.date_purchased, o.order_total, o.currency,  o.currency_value                                          from " .  TABLE_ORDERS . " o
                                          where customers_id='" . $order->customer['id'] . "'");
?>
      <tr>
        <td class="main"><b><?php echo 'Number of Orders: '; ?></b></td>
        <td class="main"><?php echo $customers_orders->RecordCount(); ?></td>
      </tr>
<?php
// eof: number of orders
?>
    </table></td>