6642084761760 has 288 divisors, whose sum is σ = 24932121786432. Its totient is φ = 1481161543680.

The previous prime is 6642084761759. The next prime is 6642084761761. The reversal of 6642084761760 is 671674802466.

It is an interprime number because it is at equal distance from previous prime (6642084761759) and next prime (6642084761761).

It is a self number, because there is not a number n which added to its sum of digits gives 6642084761760.

It is not an unprimeable number, because it can be changed into a prime (6642084761761) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2479602 + ... + 4408241.

It is an arithmetic number, because the mean of its divisors is an integer number (86569867314).

Almost surely, 2^{6642084761760} is an apocalyptic number.

6642084761760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6642084761760 is an abundant number, since it is smaller than the sum of its proper divisors (18290037024672).

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

6642084761760 is a wasteful number, since it uses less digits than its factorization.

6642084761760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887916 (or 6887901 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 6642084761760 in words is "six trillion, six hundred forty-two billion, eighty-four million, seven hundred sixty-one thousand, seven hundred sixty".