205447320704 has 128 divisors (see below), whose sum is σ = 441212832000. Its totient is φ = 94935859200.

The previous prime is 205447320703. The next prime is 205447320719. The reversal of 205447320704 is 407023744502.

It is a happy number.

205447320704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (205447320703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120921647 + ... + 120923345.

It is an arithmetic number, because the mean of its divisors is an integer number (3446975250).

Almost surely, 2^205447320704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205447320704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220606416000).

205447320704 is an abundant number, since it is smaller than the sum of its proper divisors (235765511296).

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

205447320704 is a wasteful number, since it uses less digits than its factorization.

205447320704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 38.

The spelling of 205447320704 in words is "two hundred five billion, four hundred forty-seven million, three hundred twenty thousand, seven hundred four".