6726132800 has 84 divisors (see below), whose sum is σ = 16593746340. Its totient is φ = 2683422720.

The previous prime is 6726132781. The next prime is 6726132827. The reversal of 6726132800 is 82316276.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 448422976 + 6277709824 = 21176^2 + 79232^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 629906 + ... + 640494.

Almost surely, 2^6726132800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6726132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8296873170).

6726132800 is an abundant number, since it is smaller than the sum of its proper divisors (9867613540).

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

6726132800 is a wasteful number, since it uses less digits than its factorization.

6726132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11008 (or 10993 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 6726132800 is about 82013.0038469510. The cubic root of 6726132800 is about 1887.6514785671.

The spelling of 6726132800 in words is "six billion, seven hundred twenty-six million, one hundred thirty-two thousand, eight hundred".