6827911200 has 864 divisors, whose sum is σ = 28390182912. Its totient is φ = 1586304000.

The previous prime is 6827911187. The next prime is 6827911201. The reversal of 6827911200 is 21197286.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6827911201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66290349 + ... + 66290451.

It is an arithmetic number, because the mean of its divisors is an integer number (32859008).

It is a vampire number, since it can be written as 79200 ⋅ 86211 (with its own digits).

Almost surely, 2^6827911200 is an apocalyptic number.

6827911200 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 6827911200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195091456).

6827911200 is an abundant number, since it is smaller than the sum of its proper divisors (21562271712).

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

6827911200 is a wasteful number, since it uses less digits than its factorization.

6827911200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 6827911200 is about 82631.1757147386. The cubic root of 6827911200 is about 1897.1250333141.

The spelling of 6827911200 in words is "six billion, eight hundred twenty-seven million, nine hundred eleven thousand, two hundred".