5584892768 has 192 divisors, whose sum is σ = 14483484288. Its totient is φ = 2057011200.

The previous prime is 5584892767. The next prime is 5584892773. The reversal of 5584892768 is 8672984855.

It is a self number, because there is not a number n which added to its sum of digits gives 5584892768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5584892767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4999346 + ... + 5000462.

It is an arithmetic number, because the mean of its divisors is an integer number (75434814).

Almost surely, 2^5584892768 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 5584892768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241742144).

5584892768 is an abundant number, since it is smaller than the sum of its proper divisors (8898591520).

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

5584892768 is a wasteful number, since it uses less digits than its factorization.

5584892768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1257 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 62.

The square root of 5584892768 is about 74732.1401272572. The cubic root of 5584892768 is about 1774.2096877639.

The spelling of 5584892768 in words is "five billion, five hundred eighty-four million, eight hundred ninety-two thousand, seven hundred sixty-eight".