634001617872 has 180 divisors, whose sum is σ = 2185422256836. Its totient is φ = 170487797760.

The previous prime is 634001617871. The next prime is 634001617877. The reversal of 634001617872 is 278716100436.

634001617872 is a `hidden beast` number, since 6 + 3 + 400 + 1 + 6 + 178 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 529902467136 + 104099150736 = 727944^2 + 322644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634001617871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2522779 + ... + 2762682.

Almost surely, 2^634001617872 is an apocalyptic number.

It is an amenable number.

634001617872 is an abundant number, since it is smaller than the sum of its proper divisors (1551420638964).

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

634001617872 is a wasteful number, since it uses less digits than its factorization.

634001617872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285506 (or 5285490 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 634001617872 in words is "six hundred thirty-four billion, one million, six hundred seventeen thousand, eight hundred seventy-two".