206246746030080 has 3072 divisors, whose sum is σ = 849635585280000. Its totient is φ = 42575195013120.

The previous prime is 206246746030051. The next prime is 206246746030093. The reversal of 206246746030080 is 80030647642602.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3078309642207 + ... + 3078309642273.

It is an arithmetic number, because the mean of its divisors is an integer number (276574083750).

Almost surely, 2^{206246746030080} is an apocalyptic number.

206246746030080 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 206246746030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424817792640000).

206246746030080 is an abundant number, since it is smaller than the sum of its proper divisors (643388839249920).

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

206246746030080 is an frugal number, since it uses more digits than its factorization.

206246746030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 206246746030080 in words is "two hundred six trillion, two hundred forty-six billion, seven hundred forty-six million, thirty thousand, eighty".