6722828800 has 60 divisors (see below), whose sum is σ = 16656365286. Its totient is φ = 2689126400.

The previous prime is 6722828797. The next prime is 6722828803. The reversal of 6722828800 is 88282276.

It is an interprime number because it is at equal distance from previous prime (6722828797) and next prime (6722828803).

It can be written as a sum of positive squares in 3 ways, for example, as 3919761664 + 2803067136 = 62608^2 + 52944^2 .

It is not an unprimeable number, because it can be changed into a prime (6722828803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 249811 + ... + 275410.

Almost surely, 2^6722828800 is an apocalyptic number.

It is an amenable number.

6722828800 is an abundant number, since it is smaller than the sum of its proper divisors (9933536486).

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

6722828800 is an equidigital number, since it uses as much as digits as its factorization.

6722828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525249 (or 525228 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 6722828800 is about 81992.8582255796. The cubic root of 6722828800 is about 1887.3423449158.

The spelling of 6722828800 in words is "six billion, seven hundred twenty-two million, eight hundred twenty-eight thousand, eight hundred".