6819228416 has 432 divisors, whose sum is σ = 19390855680. Its totient is φ = 2319482880.

The previous prime is 6819228371. The next prime is 6819228433. The reversal of 6819228416 is 6148229186.

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, 76620500 + ... + 76620588.

It is an arithmetic number, because the mean of its divisors is an integer number (44886240).

Almost surely, 2^6819228416 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 6819228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695427840).

6819228416 is an abundant number, since it is smaller than the sum of its proper divisors (12571627264).

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

6819228416 is a wasteful number, since it uses less digits than its factorization.

6819228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its digits is 331776, while the sum is 47.

The square root of 6819228416 is about 82578.6196058035. The cubic root of 6819228416 is about 1896.3205259648.

The spelling of 6819228416 in words is "six billion, eight hundred nineteen million, two hundred twenty-eight thousand, four hundred sixteen".