Route display device, route display method, computer program product, and route display system

A route display device that displays a route of a vehicle comprises a search unit that searches for a plurality of routes in which a plurality of destinations are stopped by in different stopping-by orders, a prediction unit that predicts, for each of the routes, a travelable position which can be reached with a remaining amount of a battery and predicts, for each of the routes, a necessity of charging based on whether the travelable position is on a side of a departure point in relation to a final destination, and a display control unit that displays, for each of the routes, the necessity of charging in association with the stopping-by order on a display part.