Modern transportation has become more efficient with the addition of sensors in vehicles. This has not only benefitted the in-vehicle experience but also has helped in generating and processing big data. A vehicular ad hoc network (VANET), was introduced to handle the network creates between vehicles. But this technology has not been able to keep up with the complex data that modern vehicle sensors are generating as it requires processing and managing capabilities, which are currently lacking in this network. Vehicular cloud computing (VCC) is a new way of deploying compute-intensive applications on vehicles. This is the product of combining VANET and cloud computing. This has many benefits, such as lower transportation costs, reduced congestion, and improved safety. But it also has some drawbacks. The paper discusses some of the challenges in the vehicular cloud network and the management of big data in it. We discuss the architecture and types of VCC, as well as its characteristic of VCC. Subsequently, we discuss the applications and advantages of VCC when used with big data. At last, the security challenges of VCC are discussed in conjunction with big data.