200334919680 has 768 divisors, whose sum is σ = 861876288000. Its totient is φ = 43090182144.

The previous prime is 200334919583. The next prime is 200334919739. The reversal of 200334919680 is 86919433002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 32898076 + ... + 32904164.

It is an arithmetic number, because the mean of its divisors is an integer number (1122234750).

Almost surely, 2^200334919680 is an apocalyptic number.

200334919680 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 200334919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430938144000).

200334919680 is an abundant number, since it is smaller than the sum of its proper divisors (661541368320).

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

200334919680 is a wasteful number, since it uses less digits than its factorization.

200334919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 200334919680 in words is "two hundred billion, three hundred thirty-four million, nine hundred nineteen thousand, six hundred eighty".