634864029408 has 144 divisors (see below), whose sum is σ = 2070758682720. Its totient is φ = 180734727168.

The previous prime is 634864029383. The next prime is 634864029413. The reversal of 634864029408 is 804920468436.

634864029408 is a `hidden beast` number, since 6 + 348 + 6 + 4 + 0 + 294 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10003 + ... + 1126866.

It is an arithmetic number, because the mean of its divisors is an integer number (14380268630).

Almost surely, 2^634864029408 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 634864029408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035379341360).

634864029408 is an abundant number, since it is smaller than the sum of its proper divisors (1435894653312).

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

634864029408 is a wasteful number, since it uses less digits than its factorization.

634864029408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137169 (or 1137158 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 634864029408 in words is "six hundred thirty-four billion, eight hundred sixty-four million, twenty-nine thousand, four hundred eight".