5824368480 has 192 divisors, whose sum is σ = 21012687360. Its totient is φ = 1328431104.

The previous prime is 5824368469. The next prime is 5824368481. The reversal of 5824368480 is 848634285.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5824368481) 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, 1836336 + ... + 1839504.

It is an arithmetic number, because the mean of its divisors is an integer number (109441080).

Almost surely, 2^5824368480 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 5824368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10506343680).

5824368480 is an abundant number, since it is smaller than the sum of its proper divisors (15188318880).

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

5824368480 is a wasteful number, since it uses less digits than its factorization.

5824368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 5824368480 is about 76317.5502751497. The cubic root of 5824368480 is about 1799.2145214827.

The spelling of 5824368480 in words is "five billion, eight hundred twenty-four million, three hundred sixty-eight thousand, four hundred eighty".