6853552800 has 144 divisors (see below), whose sum is σ = 22338257760. Its totient is φ = 1825162240.

The previous prime is 6853552799. The next prime is 6853552813. The reversal of 6853552800 is 82553586.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2429791 + ... + 2432609.

It is an arithmetic number, because the mean of its divisors is an integer number (155126790).

Almost surely, 2^6853552800 is an apocalyptic number.

6853552800 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 6853552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11169128880).

6853552800 is an abundant number, since it is smaller than the sum of its proper divisors (15484704960).

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

6853552800 is a wasteful number, since it uses less digits than its factorization.

6853552800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 6853552800 is about 82786.1872536717. The cubic root of 6853552800 is about 1899.4968935702.

The spelling of 6853552800 in words is "six billion, eight hundred fifty-three million, five hundred fifty-two thousand, eight hundred".