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I don't have enough context to provide an accurate overview of "564." You've indicated the context is "year," but 564 could refer to many different historical years or events depending on the calendar system or region. I would need more specific information to write an accurate overview.
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Seaside view of the Pyramid El Castillo (Tulum)
Year 564 (DLXIV) was a leap year starting on Tuesday of the Julian calendar. The denomination 564 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years.