204928231680 has 432 divisors, whose sum is σ = 719266307760. Its totient is φ = 53864497152.

The previous prime is 204928231667. The next prime is 204928231687. The reversal of 204928231680 is 86132829402.

204928231680 is a `hidden beast` number, since 2 + 0 + 492 + 82 + 3 + 1 + 6 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 826677504 + 204101554176 = 28752^2 + 451776^2 .

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 (204928231687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367913962 + ... + 367914518.

It is an arithmetic number, because the mean of its divisors is an integer number (1664968305).

Almost surely, 2^204928231680 is an apocalyptic number.

204928231680 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 204928231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359633153880).

204928231680 is an abundant number, since it is smaller than the sum of its proper divisors (514338076080).

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

204928231680 is a wasteful number, since it uses less digits than its factorization.

204928231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 204928231680 in words is "two hundred four billion, nine hundred twenty-eight million, two hundred thirty-one thousand, six hundred eighty".