66206717511757 has 8 divisors (see below), whose sum is σ = 67996378004216. Its totient is φ = 64417072269312.

The previous prime is 66206717511733. The next prime is 66206717511761. The reversal of 66206717511757 is 75711571760266.

66206717511757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29198828116836 + 37007889394921 = 5403594^2 + 6083411^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66206717511757 - 2¹⁵ = 66206717478989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66206717511695 and 66206717511704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66206717521757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5276653 + ... + 12659245.

It is an arithmetic number, because the mean of its divisors is an integer number (8499547250527).

Almost surely, 2^{66206717511757} is an apocalyptic number.

It is an amenable number.

66206717511757 is a deficient number, since it is larger than the sum of its proper divisors (1789660492459).

66206717511757 is a wasteful number, since it uses less digits than its factorization.

66206717511757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625007.

The product of its (nonzero) digits is 25930800, while the sum is 61.

The spelling of 66206717511757 in words is "sixty-six trillion, two hundred six billion, seven hundred seventeen million, five hundred eleven thousand, seven hundred fifty-seven".