6442515083568 has 80 divisors (see below), whose sum is σ = 18031991700096. Its totient is φ = 1974176977920.

The previous prime is 6442515083567. The next prime is 6442515083593. The reversal of 6442515083568 is 8653805152446.

It is a super-3 number, since 3×6442515083568³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (6442515083567) 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 15 ways as a sum of consecutive naturals, for example, 91770018 + ... + 91840193.

Almost surely, 2^{6442515083568} is an apocalyptic number.

6442515083568 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6442515083568 is an abundant number, since it is smaller than the sum of its proper divisors (11589476616528).

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

6442515083568 is a wasteful number, since it uses less digits than its factorization.

6442515083568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183610282 (or 183610276 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 57.

The spelling of 6442515083568 in words is "six trillion, four hundred forty-two billion, five hundred fifteen million, eighty-three thousand, five hundred sixty-eight".