5793612480 has 280 divisors, whose sum is σ = 20864943792. Its totient is φ = 1525782528.

The previous prime is 5793612467. The next prime is 5793612499. The reversal of 5793612480 is 842163975.

5793612480 is a `hidden beast` number, since 579 + 36 + 1 + 2 + 48 + 0 = 666.

5793612480 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

5793612480 is strictly pandigital in base 10.

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, 2150014 + ... + 2152706.

It is a 1-persistent number, because it is pandigital, but 2⋅5793612480 = 11587224960 is not.

Almost surely, 2^5793612480 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 5793612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10432471896).

5793612480 is an abundant number, since it is smaller than the sum of its proper divisors (15071331312).

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

5793612480 is a wasteful number, since it uses less digits than its factorization.

5793612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5793612480 is about 76115.7833829489. The cubic root of 5793612480 is about 1796.0419697105.

The spelling of 5793612480 in words is "five billion, seven hundred ninety-three million, six hundred twelve thousand, four hundred eighty".