2667606824961 has 27 divisors (see below), whose sum is σ = 4172510307459. Its totient is φ = 1641565001232.

The previous prime is 2667606824947. The next prime is 2667606824969. The reversal of 2667606824961 is 1694286067662.

The square root of 2667606824961 is 1633281.

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

2667606824961 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 60 + 6 + 82 + 496 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 394616394225 + 2272990430736 = 628185^2 + 1507644^2 .

It is not a de Polignac number, because 2667606824961 - 2⁵ = 2667606824929 is a prime.

It is a super-2 number, since 2×2667606824961² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2667606824969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63677020 + ... + 63718898.

Almost surely, 2^{2667606824961} is an apocalyptic number.

2667606824961 is the 1633281-st square number.

2667606824961 is the 816641-st centered octagonal number.

It is an amenable number.

2667606824961 is a deficient number, since it is larger than the sum of its proper divisors (1504903482498).

2667606824961 is an frugal number, since it uses more digits than its factorization.

2667606824961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83790 (or 41895 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 2667606824961 in words is "two trillion, six hundred sixty-seven billion, six hundred six million, eight hundred twenty-four thousand, nine hundred sixty-one".