5306816736 has 384 divisors, whose sum is σ = 17820633600. Its totient is φ = 1541887488.

The previous prime is 5306816731. The next prime is 5306816737. The reversal of 5306816736 is 6376186035.

5306816736 is a `hidden beast` number, since 530 + 6 + 81 + 6 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5306816691 and 5306816700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5306816731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17285895 + ... + 17286201.

It is an arithmetic number, because the mean of its divisors is an integer number (46407900).

Almost surely, 2^5306816736 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 5306816736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910316800).

5306816736 is an abundant number, since it is smaller than the sum of its proper divisors (12513816864).

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

5306816736 is a wasteful number, since it uses less digits than its factorization.

5306816736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5306816736 is about 72847.9013836363. The cubic root of 5306816736 is about 1744.2605697414.

The spelling of 5306816736 in words is "five billion, three hundred six million, eight hundred sixteen thousand, seven hundred thirty-six".