66673377801100 has 72 divisors (see below), whose sum is σ = 165439503694080. Its totient is φ = 22847066848320.

The previous prime is 66673377801059. The next prime is 66673377801119. The reversal of 66673377801100 is 110877337666.

It is a super-2 number, since 2×66673377801100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24491530 + ... + 27077329.

It is an arithmetic number, because the mean of its divisors is an integer number (2297770884640).

Almost surely, 2^{66673377801100} is an apocalyptic number.

It is an amenable number.

66673377801100 is an abundant number, since it is smaller than the sum of its proper divisors (98766125892980).

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

66673377801100 is a wasteful number, since it uses less digits than its factorization.

66673377801100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51570727 (or 51570720 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 55.

The spelling of 66673377801100 in words is "sixty-six trillion, six hundred seventy-three billion, three hundred seventy-seven million, eight hundred one thousand, one hundred".