5040786816 has 320 divisors, whose sum is σ = 16328466000. Its totient is φ = 1534464000.

The previous prime is 5040786763. The next prime is 5040786833. The reversal of 5040786816 is 6186870405.

It is a happy number.

5040786816 is a `hidden beast` number, since 504 + 0 + 78 + 68 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20082691 + ... + 20082941.

Almost surely, 2^5040786816 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 5040786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164233000).

5040786816 is an abundant number, since it is smaller than the sum of its proper divisors (11287679184).

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

5040786816 is a wasteful number, since it uses less digits than its factorization.

5040786816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5040786816 is about 70998.4986883526. The cubic root of 5040786816 is about 1714.6129923718.

The spelling of 5040786816 in words is "five billion, forty million, seven hundred eighty-six thousand, eight hundred sixteen".