66837205008 has 480 divisors, whose sum is σ = 233262848000. Its totient is φ = 17804489472.

The previous prime is 66837205007. The next prime is 66837205021. The reversal of 66837205008 is 80050273866.

66837205008 is a `hidden beast` number, since 66 + 83 + 7 + 2 + 0 + 500 + 8 = 666.

66837205008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (66837205007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62875485 + ... + 62876547.

Almost surely, 2^66837205008 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 66837205008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116631424000).

66837205008 is an abundant number, since it is smaller than the sum of its proper divisors (166425642992).

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

66837205008 is a wasteful number, since it uses less digits than its factorization.

66837205008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 66837205008 in words is "sixty-six billion, eight hundred thirty-seven million, two hundred five thousand, eight".