6676027607601 has 45 divisors (see below), whose sum is σ = 10962292518793. Its totient is φ = 4045922309880.

The previous prime is 6676027607591. The next prime is 6676027607663. The reversal of 6676027607601 is 1067067206766.

The square root of 6676027607601 is 2583801.

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

6676027607601 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 0 + 27 + 6 + 0 + 7 + 601 = 666.

It is not a de Polignac number, because 6676027607601 - 2⁵ = 6676027607569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6676027607101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 255783250 + ... + 255809348.

Almost surely, 2^{6676027607601} is an apocalyptic number.

6676027607601 is the 2583801-st square number.

6676027607601 is the 1291901-st centered octagonal number.

It is an amenable number.

6676027607601 is a deficient number, since it is larger than the sum of its proper divisors (4286264911192).

6676027607601 is an frugal number, since it uses more digits than its factorization.

6676027607601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52232 (or 26113 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 6676027607601 in words is "six trillion, six hundred seventy-six billion, twenty-seven million, six hundred seven thousand, six hundred one".