204763226832 has 240 divisors, whose sum is σ = 630053424000. Its totient is φ = 64155856896.

The previous prime is 204763226831. The next prime is 204763226851. The reversal of 204763226832 is 238622367402.

204763226832 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 632 + 2 + 6 + 8 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204763226831) 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, 68275669 + ... + 68278667.

It is an arithmetic number, because the mean of its divisors is an integer number (2625222600).

Almost surely, 2^204763226832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204763226832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315026712000).

204763226832 is an abundant number, since it is smaller than the sum of its proper divisors (425290197168).

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

204763226832 is a wasteful number, since it uses less digits than its factorization.

204763226832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 204763226832 in words is "two hundred four billion, seven hundred sixty-three million, two hundred twenty-six thousand, eight hundred thirty-two".