5436238752 has 288 divisors, whose sum is σ = 18707673600. Its totient is φ = 1531063296.

The previous prime is 5436238739. The next prime is 5436238757. The reversal of 5436238752 is 2578326345.

5436238752 is a `hidden beast` number, since 543 + 6 + 2 + 38 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 5436238698 and 5436238707.

It is not an unprimeable number, because it can be changed into a prime (5436238757) 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, 3089649 + ... + 3091407.

It is an arithmetic number, because the mean of its divisors is an integer number (64957200).

Almost surely, 2^5436238752 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 5436238752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9353836800).

5436238752 is an abundant number, since it is smaller than the sum of its proper divisors (13271434848).

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

5436238752 is a wasteful number, since it uses less digits than its factorization.

5436238752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1844 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 5436238752 is about 73730.8534604069. The cubic root of 5436238752 is about 1758.3264428911.

The spelling of 5436238752 in words is "five billion, four hundred thirty-six million, two hundred thirty-eight thousand, seven hundred fifty-two".