5082806736 has 240 divisors, whose sum is σ = 17532627840. Its totient is φ = 1342033920.

The previous prime is 5082806711. The next prime is 5082806737. The reversal of 5082806736 is 6376082805.

5082806736 is a `hidden beast` number, since 508 + 2 + 80 + 67 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5082806691 and 5082806700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5082806737) 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 47 ways as a sum of consecutive naturals, for example, 781996 + ... + 788468.

It is an arithmetic number, because the mean of its divisors is an integer number (73052616).

Almost surely, 2^5082806736 is an apocalyptic number.

5082806736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082806736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8766313920).

5082806736 is an abundant number, since it is smaller than the sum of its proper divisors (12449821104).

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

5082806736 is a wasteful number, since it uses less digits than its factorization.

5082806736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5082806736 is about 71293.8057337382. The cubic root of 5082806736 is about 1719.3641439069.

The spelling of 5082806736 in words is "five billion, eighty-two million, eight hundred six thousand, seven hundred thirty-six".