6642821120 has 192 divisors, whose sum is σ = 17336592000. Its totient is φ = 2428305408.

The previous prime is 6642821099. The next prime is 6642821123. The reversal of 6642821120 is 211282466.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (6642821123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18503501 + ... + 18503859.

It is an arithmetic number, because the mean of its divisors is an integer number (90294750).

Almost surely, 2^6642821120 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 6642821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668296000).

6642821120 is an abundant number, since it is smaller than the sum of its proper divisors (10693770880).

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

6642821120 is a wasteful number, since it uses less digits than its factorization.

6642821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 6642821120 is about 81503.5037283674. The cubic root of 6642821120 is about 1879.8254251659.

The spelling of 6642821120 in words is "six billion, six hundred forty-two million, eight hundred twenty-one thousand, one hundred twenty".