632768005650 has 288 divisors, whose sum is σ = 1783909822464. Its totient is φ = 148168944000.

The previous prime is 632768005633. The next prime is 632768005651. The reversal of 632768005650 is 56500867236.

It is a self number, because there is not a number n which added to its sum of digits gives 632768005650.

It is not an unprimeable number, because it can be changed into a prime (632768005651) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 544081969 + ... + 544083131.

It is an arithmetic number, because the mean of its divisors is an integer number (6194131328).

Almost surely, 2^632768005650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632768005650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891954911232).

632768005650 is an abundant number, since it is smaller than the sum of its proper divisors (1151141816814).

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

632768005650 is a wasteful number, since it uses less digits than its factorization.

632768005650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 632768005650 in words is "six hundred thirty-two billion, seven hundred sixty-eight million, five thousand, six hundred fifty".