66060066006066 has 512 divisors, whose sum is σ = 157241559121920. Its totient is φ = 18312763392000.

The previous prime is 66060066006049. The next prime is 66060066006097.

66060066006066 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 90866665395 + ... + 90866666121.

It is an arithmetic number, because the mean of its divisors is an integer number (307112420160).

Almost surely, 2^{66060066006066} is an apocalyptic number.

66060066006066 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 66060066006066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78620779560960).

66060066006066 is an abundant number, since it is smaller than the sum of its proper divisors (91181493115854).

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

66060066006066 is a wasteful number, since it uses less digits than its factorization.

66060066006066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130.

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

It can be divided in two parts, 660600 and 66006066, that added together give a palindrome (66666666).

The spelling of 66060066006066 in words is "sixty-six trillion, sixty billion, sixty-six million, six thousand, sixty-six", and thus it is an eban number.