634563656220 has 192 divisors, whose sum is σ = 1933990442496. Its totient is φ = 154527851520.

The previous prime is 634563656203. The next prime is 634563656323. The reversal of 634563656220 is 22656365436.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 634563656220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65678190 + ... + 65687850.

It is an arithmetic number, because the mean of its divisors is an integer number (10072866888).

Almost surely, 2^634563656220 is an apocalyptic number.

634563656220 is a gapful number since it is divisible by the number (60) 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 634563656220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966995221248).

634563656220 is an abundant number, since it is smaller than the sum of its proper divisors (1299426786276).

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

634563656220 is a wasteful number, since it uses less digits than its factorization.

634563656220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10580 (or 10578 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 634563656220 in words is "six hundred thirty-four billion, five hundred sixty-three million, six hundred fifty-six thousand, two hundred twenty".