5824768320 has 896 divisors, whose sum is σ = 25193548800. Its totient is φ = 1254113280.

The previous prime is 5824768319. The next prime is 5824768321. The reversal of 5824768320 is 238674285.

5824768320 is a `hidden beast` number, since 5 + 82 + 476 + 83 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5824768319) and next prime (5824768321).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5824768321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142067500 + ... + 142067540.

It is an arithmetic number, because the mean of its divisors is an integer number (28117800).

Almost surely, 2^5824768320 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 5824768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12596774400).

5824768320 is an abundant number, since it is smaller than the sum of its proper divisors (19368780480).

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

5824768320 is an equidigital number, since it uses as much as digits as its factorization.

5824768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5824768320 is about 76320.1698111318. The cubic root of 5824768320 is about 1799.2556922680.

The spelling of 5824768320 in words is "five billion, eight hundred twenty-four million, seven hundred sixty-eight thousand, three hundred twenty".