6852441900 has 144 divisors (see below), whose sum is σ = 20561184000. Its totient is φ = 1759914240.

The previous prime is 6852441887. The next prime is 6852441901. The reversal of 6852441900 is 91442586.

It is a super-2 number, since 2×6852441900² = 93911919985751220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6852441901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4897401 + ... + 4898799.

It is an arithmetic number, because the mean of its divisors is an integer number (142786000).

Almost surely, 2^6852441900 is an apocalyptic number.

6852441900 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 6852441900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10280592000).

6852441900 is an abundant number, since it is smaller than the sum of its proper divisors (13708742100).

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

6852441900 is a wasteful number, since it uses less digits than its factorization.

6852441900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 6852441900 is about 82779.4775291557. The cubic root of 6852441900 is about 1899.3942575028.

The spelling of 6852441900 in words is "six billion, eight hundred fifty-two million, four hundred forty-one thousand, nine hundred".