5436964182720 has 448 divisors, whose sum is σ = 20027666921472. Its totient is φ = 1223921664000.

The previous prime is 5436964182719. The next prime is 5436964182731. The reversal of 5436964182720 is 272814696345.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 487133940 + ... + 487145100.

It is an arithmetic number, because the mean of its divisors is an integer number (44704613664).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5436964182720 = 10873928365440, but 3⋅5436964182720 = 16310892548160 is not.

Almost surely, 2^{5436964182720} 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 5436964182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013833460736).

5436964182720 is an abundant number, since it is smaller than the sum of its proper divisors (14590702738752).

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

5436964182720 is a wasteful number, since it uses less digits than its factorization.

5436964182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12280 (or 12270 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 5436964182720 in words is "five trillion, four hundred thirty-six billion, nine hundred sixty-four million, one hundred eighty-two thousand, seven hundred twenty".