66805923096 has 256 divisors, whose sum is σ = 211883212800. Its totient is φ = 19305475200.

The previous prime is 66805923091. The next prime is 66805923127. The reversal of 66805923096 is 69032950866.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66805923091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20054151 + ... + 20057481.

It is an arithmetic number, because the mean of its divisors is an integer number (827668800).

Almost surely, 2^66805923096 is an apocalyptic number.

66805923096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66805923096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105941606400).

66805923096 is an abundant number, since it is smaller than the sum of its proper divisors (145077289704).

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

66805923096 is a wasteful number, since it uses less digits than its factorization.

66805923096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 66805923096 in words is "sixty-six billion, eight hundred five million, nine hundred twenty-three thousand, ninety-six".