204664782240 has 192 divisors, whose sum is σ = 721557486720. Its totient is φ = 54178744320.

The previous prime is 204664782187. The next prime is 204664782247. The reversal of 204664782240 is 42287466402.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (204664782247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418935 + ... + 764745.

It is an arithmetic number, because the mean of its divisors is an integer number (3758111910).

Almost surely, 2^204664782240 is an apocalyptic number.

204664782240 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 204664782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360778743360).

204664782240 is an abundant number, since it is smaller than the sum of its proper divisors (516892704480).

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

204664782240 is a wasteful number, since it uses less digits than its factorization.

204664782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345972 (or 345958 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 204664782240 in words is "two hundred four billion, six hundred sixty-four million, seven hundred eighty-two thousand, two hundred forty".