6642134804480 has 288 divisors, whose sum is σ = 19345315691520. Its totient is φ = 2178286387200.

The previous prime is 6642134804401. The next prime is 6642134804491. The reversal of 6642134804480 is 844084312466.

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 23 ways as a sum of consecutive naturals, for example, 11252705 + ... + 11828255.

It is an arithmetic number, because the mean of its divisors is an integer number (67171235040).

Almost surely, 2^{6642134804480} 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 6642134804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9672657845760).

6642134804480 is an abundant number, since it is smaller than the sum of its proper divisors (12703180887040).

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

6642134804480 is a wasteful number, since it uses less digits than its factorization.

6642134804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575615 (or 575588 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 50.

The spelling of 6642134804480 in words is "six trillion, six hundred forty-two billion, one hundred thirty-four million, eight hundred four thousand, four hundred eighty".