5638824072 has 160 divisors (see below), whose sum is σ = 18835344000. Its totient is φ = 1541016576.

The previous prime is 5638824053. The next prime is 5638824073. The reversal of 5638824072 is 2704288365.

5638824072 is a `hidden beast` number, since 5 + 638 + 8 + 2 + 4 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×5638824072² = 63592673829933322368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5638824073) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77304 + ... + 131352.

It is an arithmetic number, because the mean of its divisors is an integer number (117720900).

Almost surely, 2^5638824072 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 5638824072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9417672000).

5638824072 is an abundant number, since it is smaller than the sum of its proper divisors (13196519928).

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

5638824072 is a wasteful number, since it uses less digits than its factorization.

5638824072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54097 (or 54084 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5638824072 is about 75092.1039257790. The cubic root of 5638824072 is about 1779.9023714497.

The spelling of 5638824072 in words is "five billion, six hundred thirty-eight million, eight hundred twenty-four thousand, seventy-two".