66435417504 has 72 divisors (see below), whose sum is σ = 195020122752. Its totient is φ = 21430776960.

The previous prime is 66435417497. The next prime is 66435417509. The reversal of 66435417504 is 40571453466.

66435417504 is a `hidden beast` number, since 66 + 43 + 5 + 41 + 7 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66435417504.

It is not an unprimeable number, because it can be changed into a prime (66435417509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3711694 + ... + 3729549.

It is an arithmetic number, because the mean of its divisors is an integer number (2708612816).

Almost surely, 2^66435417504 is an apocalyptic number.

It is an amenable number.

66435417504 is an abundant number, since it is smaller than the sum of its proper divisors (128584705248).

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

66435417504 is a wasteful number, since it uses less digits than its factorization.

66435417504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441290 (or 7441279 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 66435417504 in words is "sixty-six billion, four hundred thirty-five million, four hundred seventeen thousand, five hundred four".