5304736144 has 60 divisors (see below), whose sum is σ = 10742476500. Its totient is φ = 2534536704.

The previous prime is 5304736121. The next prime is 5304736181. The reversal of 5304736144 is 4416374035.

It can be written as a sum of positive squares in 6 ways, for example, as 1511654400 + 3793081744 = 38880^2 + 61588^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19150534 + ... + 19150810.

It is an arithmetic number, because the mean of its divisors is an integer number (179041275).

Almost surely, 2^5304736144 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 5304736144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371238250).

5304736144 is an abundant number, since it is smaller than the sum of its proper divisors (5437740356).

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

5304736144 is a wasteful number, since it uses less digits than its factorization.

5304736144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 5304736144 is about 72833.6195997425. The cubic root of 5304736144 is about 1744.0325881883.

The spelling of 5304736144 in words is "five billion, three hundred four million, seven hundred thirty-six thousand, one hundred forty-four".