66036976127296 has 168 divisors, whose sum is σ = 141155933413248. Its totient is φ = 30546507571200.

The previous prime is 66036976127293. The next prime is 66036976127303. The reversal of 66036976127296 is 69272167963066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66036976127293) 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 23 ways as a sum of consecutive naturals, for example, 7331734825 + ... + 7331743831.

Almost surely, 2^{66036976127296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66036976127296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70577966706624).

66036976127296 is an abundant number, since it is smaller than the sum of its proper divisors (75118957285952).

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

66036976127296 is a wasteful number, since it uses less digits than its factorization.

66036976127296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10969 (or 10898 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 70.

The spelling of 66036976127296 in words is "sixty-six trillion, thirty-six billion, nine hundred seventy-six million, one hundred twenty-seven thousand, two hundred ninety-six".