200649830400 has 780 divisors, whose sum is σ = 787528871712. Its totient is φ = 50323783680.

The previous prime is 200649830399. The next prime is 200649830431. The reversal of 200649830400 is 4038946002.

It is a happy number.

200649830400 is a `hidden beast` number, since 2 + 0 + 0 + 649 + 8 + 3 + 0 + 4 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 141004089 + ... + 141005511.

Almost surely, 2^200649830400 is an apocalyptic number.

200649830400 is a gapful number since it is divisible by the number (20) 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 200649830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393764435856).

200649830400 is an abundant number, since it is smaller than the sum of its proper divisors (586879041312).

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

200649830400 is a wasteful number, since it uses less digits than its factorization.

200649830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 200649830400 in words is "two hundred billion, six hundred forty-nine million, eight hundred thirty thousand, four hundred".