200214800640 has 216 divisors, whose sum is σ = 693223090560. Its totient is φ = 53352026112.

The previous prime is 200214800603. The next prime is 200214800641. The reversal of 200214800640 is 46008412002.

200214800640 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 14 + 8 + 0 + 0 + 640 = 666.

200214800640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (200214800641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18230671 + ... + 18241649.

It is an arithmetic number, because the mean of its divisors is an integer number (3209366160).

Almost surely, 2^200214800640 is an apocalyptic number.

200214800640 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 200214800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346611545280).

200214800640 is an abundant number, since it is smaller than the sum of its proper divisors (493008289920).

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

200214800640 is a wasteful number, since it uses less digits than its factorization.

200214800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12589 (or 12572 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 200214800640 in words is "two hundred billion, two hundred fourteen million, eight hundred thousand, six hundred forty".