66606935040000 has 2800 divisors, whose sum is σ = 267530667782400. Its totient is φ = 16458743808000.

The previous prime is 66606935039959. The next prime is 66606935040013. The reversal of 66606935040000 is 4053960666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 199 ways as a sum of consecutive naturals, for example, 622494719947 + ... + 622494720053.

Almost surely, 2^{66606935040000} is an apocalyptic number.

66606935040000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66606935040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133765333891200).

66606935040000 is an abundant number, since it is smaller than the sum of its proper divisors (200923732742400).

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

66606935040000 is an equidigital number, since it uses as much as digits as its factorization.

66606935040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 66606935040000 in words is "sixty-six trillion, six hundred six billion, nine hundred thirty-five million, forty thousand".