206609226768 has 240 divisors, whose sum is σ = 692137575360. Its totient is φ = 58837072896.

The previous prime is 206609226763. The next prime is 206609226779. The reversal of 206609226768 is 867622906602.

206609226768 is a `hidden beast` number, since 2 + 0 + 6 + 609 + 2 + 26 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (206609226763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6482680 + ... + 6514472.

It is an arithmetic number, because the mean of its divisors is an integer number (2883906564).

Almost surely, 2^206609226768 is an apocalyptic number.

206609226768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206609226768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346068787680).

206609226768 is an abundant number, since it is smaller than the sum of its proper divisors (485528348592).

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

206609226768 is a wasteful number, since it uses less digits than its factorization.

206609226768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32131 (or 32112 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 206609226768 in words is "two hundred six billion, six hundred nine million, two hundred twenty-six thousand, seven hundred sixty-eight".