66375633657366 has 192 divisors, whose sum is σ = 158702024969280. Its totient is φ = 20048100864000.

The previous prime is 66375633657343. The next prime is 66375633657379.

66375633657366 is a `hidden beast` number, since 6 + 6 + 3 + 7 + 563 + 3 + 6 + 57 + 3 + 6 + 6 = 666.

66375633657366 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66375633657294 and 66375633657303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20684209570 + ... + 20684212778.

It is an arithmetic number, because the mean of its divisors is an integer number (826573046715).

Almost surely, 2^{66375633657366} is an apocalyptic number.

66375633657366 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66375633657366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79351012484640).

66375633657366 is an abundant number, since it is smaller than the sum of its proper divisors (92326391311914).

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

66375633657366 is a wasteful number, since it uses less digits than its factorization.

66375633657366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804 (or 5779 counting only the distinct ones).

The product of its digits is 4629441600, while the sum is 72.

The spelling of 66375633657366 in words is "sixty-six trillion, three hundred seventy-five billion, six hundred thirty-three million, six hundred fifty-seven thousand, three hundred sixty-six".