206944968960 has 720 divisors, whose sum is σ = 776589445632. Its totient is φ = 52608061440.

The previous prime is 206944968959. The next prime is 206944968961. The reversal of 206944968960 is 69869449602.

206944968960 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 4 + 496 + 89 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (206944968959) and next prime (206944968961).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206944968961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3088730847 + ... + 3088730913.

Almost surely, 2^206944968960 is an apocalyptic number.

206944968960 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 206944968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388294722816).

206944968960 is an abundant number, since it is smaller than the sum of its proper divisors (569644476672).

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

206944968960 is an frugal number, since it uses more digits than its factorization.

206944968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 206944968960 in words is "two hundred six billion, nine hundred forty-four million, nine hundred sixty-eight thousand, nine hundred sixty".