5634738432 has 252 divisors, whose sum is σ = 17079633340. Its totient is φ = 1854296064.

The previous prime is 5634738379. The next prime is 5634738463. The reversal of 5634738432 is 2348374365.

5634738432 is a `hidden beast` number, since 5 + 634 + 7 + 3 + 8 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2383001856 + 3251736576 = 48816^2 + 57024^2 .

Its product of digits (1451520) is a multiple of the sum of its prime factors (420).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20341878 + ... + 20342154.

Almost surely, 2^5634738432 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 5634738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8539816670).

5634738432 is an abundant number, since it is smaller than the sum of its proper divisors (11444894908).

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

5634738432 is an equidigital number, since it uses as much as digits as its factorization.

5634738432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 391 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 5634738432 is about 75064.8948044291. The cubic root of 5634738432 is about 1779.4723883379.

The spelling of 5634738432 in words is "five billion, six hundred thirty-four million, seven hundred thirty-eight thousand, four hundred thirty-two".