204937385472 has 320 divisors, whose sum is σ = 633677299200. Its totient is φ = 65330012160.

The previous prime is 204937385383. The next prime is 204937385473. The reversal of 204937385472 is 274583739402.

It is a happy number.

204937385472 is a `hidden beast` number, since 2 + 0 + 4 + 93 + 7 + 3 + 8 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204937385473) 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, 30174397 + ... + 30181187.

It is an arithmetic number, because the mean of its divisors is an integer number (1980241560).

Almost surely, 2^204937385472 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 204937385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316838649600).

204937385472 is an abundant number, since it is smaller than the sum of its proper divisors (428739913728).

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

204937385472 is an equidigital number, since it uses as much as digits as its factorization.

204937385472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6914 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 204937385472 in words is "two hundred four billion, nine hundred thirty-seven million, three hundred eighty-five thousand, four hundred seventy-two".