6812889600 has 360 divisors, whose sum is σ = 24746795568. Its totient is φ = 1638604800.

The previous prime is 6812889571. The next prime is 6812889613. The reversal of 6812889600 is 69882186.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6812889600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53644737 + ... + 53644863.

Almost surely, 2^6812889600 is an apocalyptic number.

6812889600 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 6812889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12373397784).

6812889600 is an abundant number, since it is smaller than the sum of its proper divisors (17933905968).

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

6812889600 is a wasteful number, since it uses less digits than its factorization.

6812889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 6812889600 is about 82540.2301911014. The cubic root of 6812889600 is about 1895.7327686892.

The spelling of 6812889600 in words is "six billion, eight hundred twelve million, eight hundred eighty-nine thousand, six hundred".