27968407424573 has 12 divisors (see below), whose sum is σ = 35133867179040. Its totient is φ = 21793564226280.

The previous prime is 27968407424537. The next prime is 27968407424593. The reversal of 27968407424573 is 37542470486972.

It is not a de Polignac number, because 27968407424573 - 2³² = 27964112457277 is a prime.

It is a super-3 number, since 3×27968407424573³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27968407424513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16510275083 + ... + 16510276776.

It is an arithmetic number, because the mean of its divisors is an integer number (2927822264920).

Almost surely, 2^{27968407424573} is an apocalyptic number.

It is an amenable number.

27968407424573 is a deficient number, since it is larger than the sum of its proper divisors (7165459754467).

27968407424573 is a wasteful number, since it uses less digits than its factorization.

27968407424573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33020551888 (or 33020551877 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 68.

The spelling of 27968407424573 in words is "twenty-seven trillion, nine hundred sixty-eight billion, four hundred seven million, four hundred twenty-four thousand, five hundred seventy-three".