Recently, big data (BD) has seen a tremendous growth in its volume, magnitude and complexity. Examples of such data include navigation maps, mobile phone trajectories, and social media posts/tweets. Normally, this humongous data is known as spatial big data (SBD). The handling and routing of SBD datasets become more challenging when the movement of objects (such as humans and vehicles) is highly dynamic and random. In this paper, we focus on different aspects related to generation, routing, and handling of BD and SBD. The purpose of this paper is multifold; first, we present the viewpoint of various researchers about BD. This part also includes the differentiation between BD and SBD based on several examples. Second, we focus on social media and e-applications, which are considered to be the biggest contributors in generating large volumes of spatial data. Third, our study highlights the routing perspective for BD and SBD including various interesting strategies to route large traffic volumes generated by moving objects. Fourth, we discuss different techniques for big data analysis within the context of moving objects. Finally, we highlight important issues and challenges within the domain of BD and SBD.