66000000000066 has 64 divisors (see below), whose sum is σ = 147038097661056. Its totient is φ = 19582041600000.

The previous prime is 66000000000059. The next prime is 66000000000073.

66000000000066 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (66000000000059) and next prime (66000000000073).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 65999999999955 and 66000000000045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49334935 + ... + 50655066.

It is an arithmetic number, because the mean of its divisors is an integer number (2297470275954).

Almost surely, 2^{66000000000066} is an apocalyptic number.

66000000000066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66000000000066 is an abundant number, since it is smaller than the sum of its proper divisors (81038097660990).

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

66000000000066 is a wasteful number, since it uses less digits than its factorization.

66000000000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99990227.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 660000000000 and 66, that multiplied together give a square (43560000000000 = 6600000²).

The spelling of 66000000000066 in words is "sixty-six trillion, sixty-six", and thus it is an aban number, an eban number, and an uban number.