66722733722766 has 64 divisors (see below), whose sum is σ = 153252290304000. Its totient is φ = 19153167285600.

The previous prime is 66722733722713. The next prime is 66722733722783.

66722733722766 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 66722733722697 and 66722733722706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11960461 + ... + 16628231.

It is an arithmetic number, because the mean of its divisors is an integer number (2394567036000).

Almost surely, 2^{66722733722766} is an apocalyptic number.

66722733722766 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66722733722766 is an abundant number, since it is smaller than the sum of its proper divisors (86529556581234).

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

66722733722766 is a wasteful number, since it uses less digits than its factorization.

66722733722766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679205.

The product of its digits is 448084224, while the sum is 66.

The spelling of 66722733722766 in words is "sixty-six trillion, seven hundred twenty-two billion, seven hundred thirty-three million, seven hundred twenty-two thousand, seven hundred sixty-six".