The record for one of the largest amount of BTC transferred from one wallet to another occurred on 27 Jan 2011 11:23:56, when 400,000 BTC was moved. At this  time, this amount is worth approximately $31,427,680,000.   
The tx fee was as low as 0.00 sat/vB

TX: https://www.blockchain.com/explorer/transactions/btc/3bda4918180fd55775a24580652f4c26d898d5840c7e71313491a05ef0b743d8