204280244064 has 288 divisors, whose sum is σ = 632290276800. Its totient is φ = 62187503616.

The previous prime is 204280244041. The next prime is 204280244171. The reversal of 204280244064 is 460442082402.

It is a happy number.

204280244064 is a `hidden beast` number, since 204 + 2 + 8 + 0 + 2 + 440 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×204280244064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230304229 + ... + 230305115.

It is an arithmetic number, because the mean of its divisors is an integer number (2195452350).

Almost surely, 2^204280244064 is an apocalyptic number.

204280244064 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 204280244064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316145138400).

204280244064 is an abundant number, since it is smaller than the sum of its proper divisors (428010032736).

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

204280244064 is a wasteful number, since it uses less digits than its factorization.

204280244064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 204280244064 in words is "two hundred four billion, two hundred eighty million, two hundred forty-four thousand, sixty-four".