206817204096 has 480 divisors, whose sum is σ = 682473599280. Its totient is φ = 62042112000.

The previous prime is 206817204067. The next prime is 206817204127. The reversal of 206817204096 is 690402718602.

It is a happy number.

206817204096 is a `hidden beast` number, since 206 + 8 + 17 + 20 + 409 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68914596 + ... + 68917596.

Almost surely, 2^206817204096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206817204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341236799640).

206817204096 is an abundant number, since it is smaller than the sum of its proper divisors (475656395184).

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

206817204096 is a wasteful number, since it uses less digits than its factorization.

206817204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 206817204096 in words is "two hundred six billion, eight hundred seventeen million, two hundred four thousand, ninety-six".