634113430272 has 432 divisors, whose sum is σ = 2229946048512. Its totient is φ = 169165946880.

The previous prime is 634113430271. The next prime is 634113430297. The reversal of 634113430272 is 272034311436.

634113430272 is a `hidden beast` number, since 6 + 3 + 41 + 1 + 343 + 0 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (634113430271) 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, 34811247 + ... + 34829457.

Almost surely, 2^634113430272 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 634113430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114973024256).

634113430272 is an abundant number, since it is smaller than the sum of its proper divisors (1595832618240).

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

634113430272 is a wasteful number, since it uses less digits than its factorization.

634113430272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18384 (or 18367 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 634113430272 in words is "six hundred thirty-four billion, one hundred thirteen million, four hundred thirty thousand, two hundred seventy-two".