200704000000 has 399 divisors, whose sum is σ = 583671415629. Its totient is φ = 68812800000.

The previous prime is 200703999997. The next prime is 200704000019. The reversal of 200704000000 is 407002.

The square root of 200704000000 is 448000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 175835971584 + 24868028416 = 419328^2 + 157696^2 .

It is a super-3 number, since 3×200704000000³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 28671999997 + ... + 28672000003.

Almost surely, 2^200704000000 is an apocalyptic number.

200704000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

200704000000 is the 448000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200704000000

200704000000 is an abundant number, since it is smaller than the sum of its proper divisors (382967415629).

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

200704000000 is an frugal number, since it uses more digits than its factorization.

200704000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

Multiplying 200704000000 by its product of nonzero digits (56), we get a cube (11239424000000 = 22400³).

Adding to 200704000000 its reverse (407002), we get a palindrome (200704407002).

The spelling of 200704000000 in words is "two hundred billion, seven hundred four million", and thus it is an aban number.