634815767768 has 192 divisors, whose sum is σ = 1507844620800. Its totient is φ = 248334024960.

The previous prime is 634815767767. The next prime is 634815767809. The reversal of 634815767768 is 867767518436.

It is a junction number, because it is equal to n+sod(n) for n = 634815767698 and 634815767707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634815767767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191959571 + ... + 191962877.

It is an arithmetic number, because the mean of its divisors is an integer number (7853357400).

Almost surely, 2^634815767768 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 634815767768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753922310400).

634815767768 is an abundant number, since it is smaller than the sum of its proper divisors (873028853032).

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

634815767768 is a wasteful number, since it uses less digits than its factorization.

634815767768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3739 counting only the distinct ones).

The product of its digits is 284497920, while the sum is 68.

The spelling of 634815767768 in words is "six hundred thirty-four billion, eight hundred fifteen million, seven hundred sixty-seven thousand, seven hundred sixty-eight".