206985068640 has 576 divisors, whose sum is σ = 845742643200. Its totient is φ = 45096210432.

The previous prime is 206985068593. The next prime is 206985068663. The reversal of 206985068640 is 46860589602.

It is a happy number.

206985068640 is a `hidden beast` number, since 2 + 0 + 6 + 98 + 506 + 8 + 6 + 40 = 666.

It is a super-2 number, since 2×206985068640² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23088799 + ... + 23097761.

It is an arithmetic number, because the mean of its divisors is an integer number (1468303200).

Almost surely, 2^206985068640 is an apocalyptic number.

206985068640 is a gapful number since it is divisible by the number (20) 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 206985068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422871321600).

206985068640 is an abundant number, since it is smaller than the sum of its proper divisors (638757574560).

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

206985068640 is a wasteful number, since it uses less digits than its factorization.

206985068640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 206985068640 in words is "two hundred six billion, nine hundred eighty-five million, sixty-eight thousand, six hundred forty".