206442447120 has 640 divisors, whose sum is σ = 926670689280. Its totient is φ = 40994242560.

The previous prime is 206442447061. The next prime is 206442447151. The reversal of 206442447120 is 21744244602.

206442447120 is a `hidden beast` number, since 2 + 0 + 644 + 2 + 4 + 4 + 7 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 3310630 + ... + 3372410.

It is an arithmetic number, because the mean of its divisors is an integer number (1447922952).

Almost surely, 2^206442447120 is an apocalyptic number.

206442447120 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 206442447120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463335344640).

206442447120 is an abundant number, since it is smaller than the sum of its proper divisors (720228242160).

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

206442447120 is a wasteful number, since it uses less digits than its factorization.

206442447120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61840 (or 61828 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 206442447120 in words is "two hundred six billion, four hundred forty-two million, four hundred forty-seven thousand, one hundred twenty".