Big Data refers to a collection of massive volume of data that cannot be processed by conventional data processing tools and technologies. In recent years, the data production sources are enlarged noticeably, such as high-end streaming devices, wireless sensor networks, satellite, wearable Internet of Things devices. These data generation sources generate massive amount of data in continuous manner. Nowadays, Big Data analytics plays a significant role in various environments it includes business monitoring, healthcare applications, production development, research and development, share market prediction, business process, industrial applications, social network analysis, weather analysis and environmental monitoring. A data center is a facility composed of networked computers and storage that businesses or other organizations use to process, analyze, store and distribute huge volume of data. In recent years, cloud data centers have been used to store and process the Big Data. This chapter reviews various architectures to store and process the Big Data in cloud data centers. In addition, this chapter also describesthe challenges and applications of Big Data analytics in cloud data centers.