6442067324000 has 384 divisors, whose sum is σ = 19983679672320. Its totient is φ = 1982492928000.

The previous prime is 6442067323999. The next prime is 6442067324027. The reversal of 6442067324000 is 4237602446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24199622 + ... + 24464378.

It is an arithmetic number, because the mean of its divisors is an integer number (52040832480).

Almost surely, 2^{6442067324000} 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 6442067324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9991839836160).

6442067324000 is an abundant number, since it is smaller than the sum of its proper divisors (13541612348320).

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

6442067324000 is a wasteful number, since it uses less digits than its factorization.

6442067324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264879 (or 264861 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The spelling of 6442067324000 in words is "six trillion, four hundred forty-two billion, sixty-seven million, three hundred twenty-four thousand".