6642042042720 has 384 divisors, whose sum is σ = 24957105094656. Its totient is φ = 1451816441856.

The previous prime is 6642042042707. The next prime is 6642042042721. The reversal of 6642042042720 is 272402402466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642042042721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425573157 + ... + 425588763.

It is an arithmetic number, because the mean of its divisors is an integer number (64992461184).

Almost surely, 2^{6642042042720} is an apocalyptic number.

6642042042720 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 6642042042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12478552547328).

6642042042720 is an abundant number, since it is smaller than the sum of its proper divisors (18315063051936).

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

6642042042720 is a wasteful number, since it uses less digits than its factorization.

6642042042720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21162 (or 21154 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 6642042042720 in words is "six trillion, six hundred forty-two billion, forty-two million, forty-two thousand, seven hundred twenty".