6816742272 has 320 divisors, whose sum is σ = 21232189440. Its totient is φ = 2168570880.

The previous prime is 6816742259. The next prime is 6816742279. The reversal of 6816742272 is 2722476186.

It is a happy number.

6816742272 is a `hidden beast` number, since 68 + 167 + 422 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6816742279) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40818733 + ... + 40818899.

It is an arithmetic number, because the mean of its divisors is an integer number (66350592).

Almost surely, 2^6816742272 is an apocalyptic number.

6816742272 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6816742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10616094720).

6816742272 is an abundant number, since it is smaller than the sum of its proper divisors (14415447168).

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

6816742272 is a wasteful number, since it uses less digits than its factorization.

6816742272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 330 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 6816742272 is about 82563.5650393077. The cubic root of 6816742272 is about 1896.0900453950.

The spelling of 6816742272 in words is "six billion, eight hundred sixteen million, seven hundred forty-two thousand, two hundred seventy-two".