5336823600 has 720 divisors, whose sum is σ = 21156145920. Its totient is φ = 1238630400.

The previous prime is 5336823593. The next prime is 5336823601. The reversal of 5336823600 is 63286335.

It is a happy number.

5336823600 is a `hidden beast` number, since 533 + 68 + 2 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5336823600² = 56963372275033920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5336823601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55018752 + ... + 55018848.

It is an arithmetic number, because the mean of its divisors is an integer number (29383536).

Almost surely, 2^5336823600 is an apocalyptic number.

5336823600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5336823600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10578072960).

5336823600 is an abundant number, since it is smaller than the sum of its proper divisors (15819322320).

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

5336823600 is a wasteful number, since it uses less digits than its factorization.

5336823600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5336823600 is about 73053.5666480426. The cubic root of 5336823600 is about 1747.5419749599.

The spelling of 5336823600 in words is "five billion, three hundred thirty-six million, eight hundred twenty-three thousand, six hundred".