66626879675841 has 9 divisors (see below), whose sum is σ = 96238861569409. Its totient is φ = 44417903458836.

The previous prime is 66626879675789. The next prime is 66626879675921. The reversal of 66626879675841 is 14857697862666.

The square root of 66626879675841 is 8162529.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 66626879675841 - 2⁹ = 66626879675329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66626879625841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23127166 + ... + 25848008.

Almost surely, 2^{66626879675841} is an apocalyptic number.

66626879675841 is the 8162529-th square number.

66626879675841 is the 4081265-th centered octagonal number.

It is an amenable number.

66626879675841 is a deficient number, since it is larger than the sum of its proper divisors (29611981893568).

66626879675841 is an frugal number, since it uses more digits than its factorization.

66626879675841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441692 (or 2720846 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 81.

The spelling of 66626879675841 in words is "sixty-six trillion, six hundred twenty-six billion, eight hundred seventy-nine million, six hundred seventy-five thousand, eight hundred forty-one".