66006606666600 has 144 divisors (see below), whose sum is σ = 229882268572320. Its totient is φ = 17601761764800.

The previous prime is 66006606666587. The next prime is 66006606666667. The reversal of 66006606666600 is 666660660066.

66006606666600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 679031716 + ... + 679128915.

Almost surely, 2^{66006606666600} is an apocalyptic number.

66006606666600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66006606666600 is an abundant number, since it is smaller than the sum of its proper divisors (163875661905720).

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

66006606666600 is a wasteful number, since it uses less digits than its factorization.

66006606666600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358160662 (or 1358160641 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 66006606666600 in words is "sixty-six trillion, six billion, six hundred six million, six hundred sixty-six thousand, six hundred".