5436344160 has 480 divisors, whose sum is σ = 21192427872. Its totient is φ = 1303879680.

The previous prime is 5436344149. The next prime is 5436344161. The reversal of 5436344160 is 614436345.

5436344160 is a `hidden beast` number, since 5 + 4 + 3 + 634 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×5436344160³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (5436344161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6907287 + ... + 6908073.

Almost surely, 2^5436344160 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 5436344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596213936).

5436344160 is an abundant number, since it is smaller than the sum of its proper divisors (15756083712).

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

5436344160 is a wasteful number, since it uses less digits than its factorization.

5436344160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 851 counting only the distinct ones).

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

The square root of 5436344160 is about 73731.5682730267. The cubic root of 5436344160 is about 1758.3378073954.

The spelling of 5436344160 in words is "five billion, four hundred thirty-six million, three hundred forty-four thousand, one hundred sixty".