5468923824 has 480 divisors, whose sum is σ = 19039495680. Its totient is φ = 1319804928.

The previous prime is 5468923769. The next prime is 5468923841. The reversal of 5468923824 is 4283298645.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39919084 + ... + 39919220.

It is an arithmetic number, because the mean of its divisors is an integer number (39665616).

Almost surely, 2^5468923824 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 5468923824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9519747840).

5468923824 is an abundant number, since it is smaller than the sum of its proper divisors (13570571856).

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

5468923824 is a wasteful number, since it uses less digits than its factorization.

5468923824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 5468923824 is about 73952.1725441518. The cubic root of 5468923824 is about 1761.8433493275.

The spelling of 5468923824 in words is "five billion, four hundred sixty-eight million, nine hundred twenty-three thousand, eight hundred twenty-four".