66127546745 has 16 divisors (see below), whose sum is σ = 85522932432. Its totient is φ = 48795052800.

The previous prime is 66127546729. The next prime is 66127546783. The reversal of 66127546745 is 54764572166.

It is a happy number.

66127546745 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 8 ways, for example, as 14962916329 + 51164630416 = 122323^2 + 226196^2 .

It is not a de Polignac number, because 66127546745 - 2⁴ = 66127546729 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306422 + ... + 475551.

It is an arithmetic number, because the mean of its divisors is an integer number (5345183277).

Almost surely, 2^66127546745 is an apocalyptic number.

66127546745 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66127546745 is a deficient number, since it is larger than the sum of its proper divisors (19395385687).

66127546745 is a wasteful number, since it uses less digits than its factorization.

66127546745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783292.

The product of its digits is 8467200, while the sum is 53.

The spelling of 66127546745 in words is "sixty-six billion, one hundred twenty-seven million, five hundred forty-six thousand, seven hundred forty-five".