66135643512736 has 36 divisors (see below), whose sum is σ = 151462433584098. Its totient is φ = 28343847219072.

The previous prime is 66135643512703. The next prime is 66135643512739. The reversal of 66135643512736 is 63721534653166.

It can be written as a sum of positive squares in only one way, i.e., 65179464624400 + 956178888336 = 8073380^2 + 977844^2 .

It is a super-2 number, since 2×66135643512736² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66135643512739) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21089170471 + ... + 21089173606.

Almost surely, 2^{66135643512736} is an apocalyptic number.

It is an amenable number.

66135643512736 is an abundant number, since it is smaller than the sum of its proper divisors (85326790071362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66135643512736 is a wasteful number, since it uses less digits than its factorization.

66135643512736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42178344101 (or 42178344086 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 58.

The spelling of 66135643512736 in words is "sixty-six trillion, one hundred thirty-five billion, six hundred forty-three million, five hundred twelve thousand, seven hundred thirty-six".