6807504800 has 72 divisors (see below), whose sum is σ = 16749927936. Its totient is φ = 2701520640.

The previous prime is 6807504797. The next prime is 6807504877. The reversal of 6807504800 is 84057086.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68099 + ... + 135101.

It is an arithmetic number, because the mean of its divisors is an integer number (232637888).

Almost surely, 2^6807504800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6807504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374963968).

6807504800 is an abundant number, since it is smaller than the sum of its proper divisors (9942423136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6807504800 is a wasteful number, since it uses less digits than its factorization.

6807504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67150 (or 67137 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 6807504800 is about 82507.6044980098. The cubic root of 6807504800 is about 1895.2331846631.

The spelling of 6807504800 in words is "six billion, eight hundred seven million, five hundred four thousand, eight hundred".