66405699650466 has 48 divisors (see below), whose sum is σ = 166191804481248. Its totient is φ = 18939236976000.

The previous prime is 66405699650413. The next prime is 66405699650527.

66405699650466 is a `hidden beast` number, since 6 + 6 + 4 + 0 + 56 + 9 + 9 + 6 + 504 + 66 = 666.

66405699650466 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66405699650394 and 66405699650403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9864182560 + ... + 9864189291.

It is an arithmetic number, because the mean of its divisors is an integer number (3462329260026).

Almost surely, 2^{66405699650466} is an apocalyptic number.

66405699650466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66405699650466 is an abundant number, since it is smaller than the sum of its proper divisors (99786104830782).

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

66405699650466 is a wasteful number, since it uses less digits than its factorization.

66405699650466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19728371887 (or 19728371884 counting only the distinct ones).

The product of its (nonzero) digits is 1511654400, while the sum is 72.

The spelling of 66405699650466 in words is "sixty-six trillion, four hundred five billion, six hundred ninety-nine million, six hundred fifty thousand, four hundred sixty-six".