634779912672 has 384 divisors, whose sum is σ = 2027047680000. Its totient is φ = 192555657216.

The previous prime is 634779912661. The next prime is 634779912707. The reversal of 634779912672 is 276219977436.

634779912672 is a `hidden beast` number, since 6 + 3 + 477 + 9 + 91 + 2 + 6 + 72 = 666.

634779912672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47977354 + ... + 47990582.

It is an arithmetic number, because the mean of its divisors is an integer number (5278770000).

Almost surely, 2^634779912672 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 634779912672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013523840000).

634779912672 is an abundant number, since it is smaller than the sum of its proper divisors (1392267767328).

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

634779912672 is a wasteful number, since it uses less digits than its factorization.

634779912672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13383 (or 13369 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

It can be divided in two parts, 634779 and 912672, that added together give a palindrome (1547451).

The spelling of 634779912672 in words is "six hundred thirty-four billion, seven hundred seventy-nine million, nine hundred twelve thousand, six hundred seventy-two".