6722728144000 has 512 divisors, whose sum is σ = 19057983160320. Its totient is φ = 2334492160000.

The previous prime is 6722728143997. The next prime is 6722728144049. The reversal of 6722728144000 is 4418272276.

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 63 ways as a sum of consecutive naturals, for example, 3687727089 + ... + 3687728911.

It is an arithmetic number, because the mean of its divisors is an integer number (37222623360).

Almost surely, 2^{6722728144000} 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 6722728144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528991580160).

6722728144000 is an abundant number, since it is smaller than the sum of its proper divisors (12335255016320).

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

6722728144000 is a wasteful number, since it uses less digits than its factorization.

6722728144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 6722728144000 in words is "six trillion, seven hundred twenty-two billion, seven hundred twenty-eight million, one hundred forty-four thousand".