204029673984 has 180 divisors, whose sum is σ = 611470279134. Its totient is φ = 68008771584.

The previous prime is 204029673961. The next prime is 204029673989. The reversal of 204029673984 is 489376920402.

204029673984 is a `hidden beast` number, since 2 + 0 + 402 + 96 + 73 + 9 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 158302128384 + 45727545600 = 397872^2 + 213840^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 204029673984.

It is not an unprimeable number, because it can be changed into a prime (204029673989) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3328864 + ... + 3389600.

Almost surely, 2^204029673984 is an apocalyptic number.

204029673984 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 204029673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305735139567).

204029673984 is an abundant number, since it is smaller than the sum of its proper divisors (407440605150).

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

204029673984 is an frugal number, since it uses more digits than its factorization.

204029673984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60779 (or 60742 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 204029673984 in words is "two hundred four billion, twenty-nine million, six hundred seventy-three thousand, nine hundred eighty-four".