6845722800 has 480 divisors, whose sum is σ = 26864947200. Its totient is φ = 1455252480.

The previous prime is 6845722799. The next prime is 6845722823. The reversal of 6845722800 is 82275486.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9416037 + ... + 9416763.

It is an arithmetic number, because the mean of its divisors is an integer number (55968640).

Almost surely, 2^6845722800 is an apocalyptic number.

6845722800 is a gapful number since it is divisible by the number (60) 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 6845722800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13432473600).

6845722800 is an abundant number, since it is smaller than the sum of its proper divisors (20019224400).

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

6845722800 is a wasteful number, since it uses less digits than its factorization.

6845722800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 6845722800 is about 82738.8832411944. The cubic root of 6845722800 is about 1898.7732431886.

The spelling of 6845722800 in words is "six billion, eight hundred forty-five million, seven hundred twenty-two thousand, eight hundred".