67822802208 has 288 divisors, whose sum is σ = 227357020800. Its totient is φ = 18775019520.

The previous prime is 67822802191. The next prime is 67822802213. The reversal of 67822802208 is 80220822876.

It is a happy number.

67822802208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12312991 + ... + 12318497.

It is an arithmetic number, because the mean of its divisors is an integer number (789434100).

Almost surely, 2^67822802208 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 67822802208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113678510400).

67822802208 is an abundant number, since it is smaller than the sum of its proper divisors (159534218592).

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

67822802208 is a wasteful number, since it uses less digits than its factorization.

67822802208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5720 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 67822802208 in words is "sixty-seven billion, eight hundred twenty-two million, eight hundred two thousand, two hundred eight".