610648772443632 has 1600 divisors, whose sum is σ = 2130731704442880. Its totient is φ = 166922477568000.

The previous prime is 610648772443613. The next prime is 610648772443667. The reversal of 610648772443632 is 236344277846016.

610648772443632 is a `hidden beast` number, since 6 + 1 + 0 + 64 + 8 + 7 + 72 + 443 + 63 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 610648772443632.

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 319 ways as a sum of consecutive naturals, for example, 581016909507 + ... + 581016910557.

Almost surely, 2^{610648772443632} 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 610648772443632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065365852221440).

610648772443632 is an abundant number, since it is smaller than the sum of its proper divisors (1520082931999248).

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

610648772443632 is a wasteful number, since it uses less digits than its factorization.

610648772443632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 610648772443632 in words is "six hundred ten trillion, six hundred forty-eight billion, seven hundred seventy-two million, four hundred forty-three thousand, six hundred thirty-two".