667726208226 has 72 divisors (see below), whose sum is σ = 1835937393264. Its totient is φ = 173435376240.

The previous prime is 667726208209. The next prime is 667726208231. The reversal of 667726208226 is 622802627766.

667726208226 is a `hidden beast` number, since 6 + 6 + 7 + 7 + 2 + 620 + 8 + 2 + 2 + 6 = 666.

It is a super-3 number, since 3×667726208226³ (a number of 36 digits) contains 333 as substring.

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, 34402080 + ... + 34421483.

It is an arithmetic number, because the mean of its divisors is an integer number (25499130462).

Almost surely, 2^667726208226 is an apocalyptic number.

667726208226 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

667726208226 is an abundant number, since it is smaller than the sum of its proper divisors (1168211185038).

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

667726208226 is a wasteful number, since it uses less digits than its factorization.

667726208226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68823596 (or 68823586 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 667726208226 in words is "six hundred sixty-seven billion, seven hundred twenty-six million, two hundred eight thousand, two hundred twenty-six".