206716968076032 has 864 divisors, whose sum is σ = 641369314639872. Its totient is φ = 66351872950272.

The previous prime is 206716968075973. The next prime is 206716968076039. The reversal of 206716968076032 is 230670869617602.

206716968076032 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 16 + 9 + 6 + 8 + 0 + 7 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (206716968076039) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 189128058078 + ... + 189128059170.

It is an arithmetic number, because the mean of its divisors is an integer number (742325595648).

Almost surely, 2^{206716968076032} 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 206716968076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320684657319936).

206716968076032 is an abundant number, since it is smaller than the sum of its proper divisors (434652346563840).

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

206716968076032 is a wasteful number, since it uses less digits than its factorization.

206716968076032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 206716968076032 in words is "two hundred six trillion, seven hundred sixteen billion, nine hundred sixty-eight million, seventy-six thousand, thirty-two".