634032645768 has 160 divisors (see below), whose sum is σ = 1805265792000. Its totient is φ = 207871868160.

The previous prime is 634032645689. The next prime is 634032645781. The reversal of 634032645768 is 867546230436.

634032645768 is a `hidden beast` number, since 6 + 3 + 4 + 0 + 3 + 2 + 64 + 576 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10986573 + ... + 11044131.

It is an arithmetic number, because the mean of its divisors is an integer number (11282911200).

Almost surely, 2^634032645768 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 634032645768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902632896000).

634032645768 is an abundant number, since it is smaller than the sum of its proper divisors (1171233146232).

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

634032645768 is a wasteful number, since it uses less digits than its factorization.

634032645768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57857 (or 57844 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 634032645768 in words is "six hundred thirty-four billion, thirty-two million, six hundred forty-five thousand, seven hundred sixty-eight".