5164709616 has 480 divisors, whose sum is σ = 18050273280. Its totient is φ = 1358438400.

The previous prime is 5164709591. The next prime is 5164709617. The reversal of 5164709616 is 6169074615.

5164709616 is a `hidden beast` number, since 516 + 4 + 70 + 9 + 61 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164709617) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 19199530 + ... + 19199798.

It is an arithmetic number, because the mean of its divisors is an integer number (37604736).

Almost surely, 2^5164709616 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 5164709616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9025136640).

5164709616 is an abundant number, since it is smaller than the sum of its proper divisors (12885563664).

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

5164709616 is a wasteful number, since it uses less digits than its factorization.

5164709616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5164709616 is about 71865.9141457200. The cubic root of 5164709616 is about 1728.5500917119.

The spelling of 5164709616 in words is "five billion, one hundred sixty-four million, seven hundred nine thousand, six hundred sixteen".