206479360000 has 255 divisors, whose sum is σ = 523399663963. Its totient is φ = 81428480000.

The previous prime is 206479359997. The next prime is 206479360007. The reversal of 206479360000 is 63974602.

The square root of 206479360000 is 454400.

It is a perfect power (a square), and thus also a powerful number.

206479360000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16187981824 + 190291378176 = 127232^2 + 436224^2 .

It is a super-2 number, since 2×206479360000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206479360007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2908159965 + ... + 2908160035.

Almost surely, 2^206479360000 is an apocalyptic number.

206479360000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

206479360000 is the 454400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206479360000

206479360000 is an abundant number, since it is smaller than the sum of its proper divisors (316920303963).

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

206479360000 is an frugal number, since it uses more digits than its factorization.

206479360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 206479360000 in words is "two hundred six billion, four hundred seventy-nine million, three hundred sixty thousand".