6845741160 has 384 divisors, whose sum is σ = 23164704000. Its totient is φ = 1613230080.

The previous prime is 6845741153. The next prime is 6845741171. The reversal of 6845741160 is 611475486.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76918396 + ... + 76918484.

It is an arithmetic number, because the mean of its divisors is an integer number (60324750).

Almost surely, 2^6845741160 is an apocalyptic number.

6845741160 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 6845741160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582352000).

6845741160 is an abundant number, since it is smaller than the sum of its proper divisors (16318962840).

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

6845741160 is a wasteful number, since it uses less digits than its factorization.

6845741160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 6845741160 is about 82738.9941925813. The cubic root of 6845741160 is about 1898.7749406692.

The spelling of 6845741160 in words is "six billion, eight hundred forty-five million, seven hundred forty-one thousand, one hundred sixty".