6874812000 has 288 divisors, whose sum is σ = 27885259584. Its totient is φ = 1571328000.

The previous prime is 6874811989. The next prime is 6874812001. The reversal of 6874812000 is 2184786.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6874812001) 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, 238360 + ... + 265640.

It is an arithmetic number, because the mean of its divisors is an integer number (96823818).

Almost surely, 2^6874812000 is an apocalyptic number.

6874812000 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 6874812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942629792).

6874812000 is an abundant number, since it is smaller than the sum of its proper divisors (21010447584).

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

6874812000 is a wasteful number, since it uses less digits than its factorization.

6874812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27319 (or 27298 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 6874812000 is about 82914.4860684790. The cubic root of 6874812000 is about 1901.4588979788.

Adding to 6874812000 its reverse (2184786), we get a palindrome (6876996786).

The spelling of 6874812000 in words is "six billion, eight hundred seventy-four million, eight hundred twelve thousand".