6726132000 has 1152 divisors, whose sum is σ = 30116136960. Its totient is φ = 1451520000.

The previous prime is 6726131981. The next prime is 6726132001. The reversal of 6726132000 is 2316276.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (6726132001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 164051980 + ... + 164052020.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^6726132000 is an apocalyptic number.

6726132000 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 6726132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058068480).

6726132000 is an abundant number, since it is smaller than the sum of its proper divisors (23390004960).

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

6726132000 is a wasteful number, since it uses less digits than its factorization.

6726132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6726132000 is about 82012.9989696755. The cubic root of 6726132000 is about 1887.6514037286.

Adding to 6726132000 its reverse (2316276), we get a palindrome (6728448276).

The spelling of 6726132000 in words is "six billion, seven hundred twenty-six million, one hundred thirty-two thousand".