66946936848 has 320 divisors, whose sum is σ = 208424755200. Its totient is φ = 18289152000.

The previous prime is 66946936843. The next prime is 66946936877. The reversal of 66946936848 is 84863964966.

It is not an unprimeable number, because it can be changed into a prime (66946936843) 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, 18968748 + ... + 18972276.

It is an arithmetic number, because the mean of its divisors is an integer number (651327360).

Almost surely, 2^66946936848 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 66946936848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104212377600).

66946936848 is an abundant number, since it is smaller than the sum of its proper divisors (141477818352).

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

66946936848 is a wasteful number, since it uses less digits than its factorization.

66946936848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3656 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 69.

The spelling of 66946936848 in words is "sixty-six billion, nine hundred forty-six million, nine hundred thirty-six thousand, eight hundred forty-eight".