66562632261 has 12 divisors (see below), whose sum is σ = 96288894988. Its totient is φ = 44309147904.

The previous prime is 66562632239. The next prime is 66562632281. The reversal of 66562632261 is 16223626566.

66562632261 is a `hidden beast` number, since 6 + 6 + 5 + 6 + 2 + 632 + 2 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32267296161 + 34295336100 = 179631^2 + 185190^2 .

It is not a de Polignac number, because 66562632261 - 2⁶ = 66562632197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66562632221) 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, 5488630 + ... + 5500743.

Almost surely, 2^66562632261 is an apocalyptic number.

It is an amenable number.

66562632261 is a deficient number, since it is larger than the sum of its proper divisors (29726262727).

66562632261 is a wasteful number, since it uses less digits than its factorization.

66562632261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990052 (or 10990049 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 66562632261 in words is "sixty-six billion, five hundred sixty-two million, six hundred thirty-two thousand, two hundred sixty-one".