206749200168 has 192 divisors, whose sum is σ = 668942971200. Its totient is φ = 58993764480.

The previous prime is 206749200137. The next prime is 206749200173. The reversal of 206749200168 is 861002947602.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8317198 + ... + 8342018.

It is an arithmetic number, because the mean of its divisors is an integer number (3484077975).

Almost surely, 2^206749200168 is an apocalyptic number.

206749200168 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 206749200168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334471485600).

206749200168 is an abundant number, since it is smaller than the sum of its proper divisors (462193771032).

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

206749200168 is a wasteful number, since it uses less digits than its factorization.

206749200168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25637 (or 25620 counting only the distinct ones).

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

The spelling of 206749200168 in words is "two hundred six billion, seven hundred forty-nine million, two hundred thousand, one hundred sixty-eight".