649822800200 has 324 divisors, whose sum is σ = 1870875224235. Its totient is φ = 209252951040.

The previous prime is 649822800199. The next prime is 649822800227. The reversal of 649822800200 is 2008228946.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 423126832324 + 226695967876 = 650482^2 + 476126^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=570010.

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 80 ways as a sum of consecutive naturals, for example, 1356623561 + ... + 1356624039.

Almost surely, 2^649822800200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649822800200

649822800200 is an abundant number, since it is smaller than the sum of its proper divisors (1221052424035).

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

649822800200 is a wasteful number, since it uses less digits than its factorization.

649822800200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 649822800200 in words is "six hundred forty-nine billion, eight hundred twenty-two million, eight hundred thousand, two hundred".