206335164672 has 1296 divisors, whose sum is σ = 797966088192. Its totient is φ = 52672757760.

The previous prime is 206335164661. The next prime is 206335164719. The reversal of 206335164672 is 276461533602.

206335164672 is a `hidden beast` number, since 2 + 0 + 63 + 3 + 516 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1624686273 + ... + 1624686399.

Almost surely, 2^206335164672 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 206335164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398983044096).

206335164672 is an abundant number, since it is smaller than the sum of its proper divisors (591630923520).

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

206335164672 is a wasteful number, since it uses less digits than its factorization.

206335164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 206335164672 in words is "two hundred six billion, three hundred thirty-five million, one hundred sixty-four thousand, six hundred seventy-two".