66006600660066 has 128 divisors (see below), whose sum is σ = 155702992732416. Its totient is φ = 18431997050880.

The previous prime is 66006600660023. The next prime is 66006600660109.

66006600660066 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (66006600660023) and next prime (66006600660109).

66006600660066 is a modest number, since divided by 6600660066 gives 66 as remainder.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66006600659997 and 66006600660024.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8279946 + ... + 14162298.

It is an arithmetic number, because the mean of its divisors is an integer number (1216429630722).

Almost surely, 2^{66006600660066} is an apocalyptic number.

66006600660066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66006600660066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77851496366208).

66006600660066 is an abundant number, since it is smaller than the sum of its proper divisors (89696392072350).

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

66006600660066 is a wasteful number, since it uses less digits than its factorization.

66006600660066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882596.

The product of its (nonzero) digits is 1679616, while the sum is 48.

It can be divided in two parts, 66006600 and 660066, that multiplied together give a square (43568712435600 = 6600660²).

The spelling of 66006600660066 in words is "sixty-six trillion, six billion, six hundred million, six hundred sixty thousand, sixty-six".