204285060864 has 216 divisors, whose sum is σ = 624698579232. Its totient is φ = 64065576960.

The previous prime is 204285060839. The next prime is 204285060869. The reversal of 204285060864 is 468060582402.

204285060864 is a `hidden beast` number, since 20 + 42 + 8 + 506 + 0 + 86 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204285060869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3200914 + ... + 3264110.

It is an arithmetic number, because the mean of its divisors is an integer number (2892123052).

Almost surely, 2^204285060864 is an apocalyptic number.

204285060864 is a gapful number since it is divisible by the number (24) 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 204285060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312349289616).

204285060864 is an abundant number, since it is smaller than the sum of its proper divisors (420413518368).

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

204285060864 is a wasteful number, since it uses less digits than its factorization.

204285060864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63303 (or 63286 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 204285060864 in words is "two hundred four billion, two hundred eighty-five million, sixty thousand, eight hundred sixty-four".