What is the Jewish term that means 'Peace be upon him' for a departed male?

The term that means 'Peace be upon him' for a departed male is indeed "Alar Hashalom." This phrase is a traditional expression used in Jewish culture, particularly when referring to someone who has recently passed away. It reflects a respectful acknowledgment of the deceased, wishing them peace in the afterlife.

The other terms you may encounter hold different meanings. "Shalom Aleichem" translates to 'peace be upon you' and is commonly used as a greeting among those who know one another. "Baruch Hashem" means 'blessed be God' and is often used to express gratitude or relief. "Shiv'ah" refers to a seven-day mourning period observed after a death in Jewish tradition, rather than a phrase of peace for the deceased.