643413206106 has 48 divisors (see below), whose sum is σ = 1586916377280. Its totient is φ = 186496580160.

The previous prime is 643413206081. The next prime is 643413206119. The reversal of 643413206106 is 601602314346.

643413206106 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 1 + 32 + 0 + 610 + 6 = 666.

643413206106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70638091 + ... + 70647198.

It is an arithmetic number, because the mean of its divisors is an integer number (33060757860).

Almost surely, 2^643413206106 is an apocalyptic number.

643413206106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

643413206106 is an abundant number, since it is smaller than the sum of its proper divisors (943503171174).

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

643413206106 is a wasteful number, since it uses less digits than its factorization.

643413206106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141285331 (or 141285328 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 643413206106 in words is "six hundred forty-three billion, four hundred thirteen million, two hundred six thousand, one hundred six".