5206604760 has 576 divisors, whose sum is σ = 21108185280. Its totient is φ = 1107025920.

The previous prime is 5206604749. The next prime is 5206604761. The reversal of 5206604760 is 674066025.

5206604760 is a `hidden beast` number, since 520 + 6 + 60 + 4 + 76 + 0 = 666.

It is a super-3 number, since 3×5206604760³ (a number of 30 digits) contains 333 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 (5206604761) 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 143 ways as a sum of consecutive naturals, for example, 16634364 + ... + 16634676.

It is an arithmetic number, because the mean of its divisors is an integer number (36646155).

Almost surely, 2^5206604760 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 5206604760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10554092640).

5206604760 is an abundant number, since it is smaller than the sum of its proper divisors (15901580520).

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

5206604760 is a wasteful number, since it uses less digits than its factorization.

5206604760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5206604760 is about 72156.8067475273. The cubic root of 5206604760 is about 1733.2114005286.

The spelling of 5206604760 in words is "five billion, two hundred six million, six hundred four thousand, seven hundred sixty".