6832123200 has 840 divisors, whose sum is σ = 30457639872. Its totient is φ = 1466449920.

The previous prime is 6832123157. The next prime is 6832123247. The reversal of 6832123200 is 23212386.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15422179 + ... + 15422621.

Almost surely, 2^6832123200 is an apocalyptic number.

6832123200 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 6832123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228819936).

6832123200 is an abundant number, since it is smaller than the sum of its proper divisors (23625516672).

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

6832123200 is a wasteful number, since it uses less digits than its factorization.

6832123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6832123200 is about 82656.6585339620. The cubic root of 6832123200 is about 1897.5150524513.

Adding to 6832123200 its reverse (23212386), we get a palindrome (6855335586).

The spelling of 6832123200 in words is "six billion, eight hundred thirty-two million, one hundred twenty-three thousand, two hundred".