16442667642768 has 40 divisors (see below), whose sum is σ = 43075157495616. Its totient is φ = 5403693590400.

The previous prime is 16442667642767. The next prime is 16442667642799. The reversal of 16442667642768 is 86724676624461.

It is a super-3 number, since 3×16442667642768³ (a number of 41 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 (16442667642767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2412359803 + ... + 2412366618.

Almost surely, 2^{16442667642768} is an apocalyptic number.

It is an amenable number.

16442667642768 is an abundant number, since it is smaller than the sum of its proper divisors (26632489852848).

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

16442667642768 is a wasteful number, since it uses less digits than its factorization.

16442667642768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824726503 (or 4824726497 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 69.

The spelling of 16442667642768 in words is "sixteen trillion, four hundred forty-two billion, six hundred sixty-seven million, six hundred forty-two thousand, seven hundred sixty-eight".