200654006643640 has 256 divisors, whose sum is σ = 513144328919040. Its totient is φ = 69979689984000.

The previous prime is 200654006643637. The next prime is 200654006643677. The reversal of 200654006643640 is 46346600456002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254168325 + ... + 254956555.

It is an arithmetic number, because the mean of its divisors is an integer number (2004470034840).

Almost surely, 2^{200654006643640} is an apocalyptic number.

200654006643640 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 200654006643640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256572164459520).

200654006643640 is an abundant number, since it is smaller than the sum of its proper divisors (312490322275400).

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

200654006643640 is a wasteful number, since it uses less digits than its factorization.

200654006643640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788534 (or 788530 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 46.

The spelling of 200654006643640 in words is "two hundred trillion, six hundred fifty-four billion, six million, six hundred forty-three thousand, six hundred forty".