5436332820 has 288 divisors, whose sum is σ = 18195166080. Its totient is φ = 1358622720.

The previous prime is 5436332813. The next prime is 5436332861. The reversal of 5436332820 is 282336345.

It is a happy number.

5436332820 is a `hidden beast` number, since 543 + 6 + 3 + 32 + 82 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10434160 + ... + 10434680.

It is an arithmetic number, because the mean of its divisors is an integer number (63177660).

Almost surely, 2^5436332820 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 5436332820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9097583040).

5436332820 is an abundant number, since it is smaller than the sum of its proper divisors (12758833260).

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

5436332820 is a wasteful number, since it uses less digits than its factorization.

5436332820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5436332820 is about 73731.4913724116. The cubic root of 5436332820 is about 1758.3365847867.

The spelling of 5436332820 in words is "five billion, four hundred thirty-six million, three hundred thirty-two thousand, eight hundred twenty".