204542607360 has 1024 divisors, whose sum is σ = 856128268800. Its totient is φ = 40466644992.

The previous prime is 204542607341. The next prime is 204542607361. The reversal of 204542607360 is 63706245402.

204542607360 is digitally balanced in base 3, 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 (1024).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (204542607361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 760381306 + ... + 760381574.

Almost surely, 2^204542607360 is an apocalyptic number.

204542607360 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 204542607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428064134400).

204542607360 is an abundant number, since it is smaller than the sum of its proper divisors (651585661440).

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

204542607360 is a wasteful number, since it uses less digits than its factorization.

204542607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 204542607360 in words is "two hundred four billion, five hundred forty-two million, six hundred seven thousand, three hundred sixty".