5873432760 has 288 divisors, whose sum is σ = 21762140400. Its totient is φ = 1369405440.

The previous prime is 5873432749. The next prime is 5873432767. The reversal of 5873432760 is 672343785.

5873432760 is a `hidden beast` number, since 587 + 3 + 4 + 3 + 2 + 7 + 60 = 666.

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 (5873432767) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1153420 + ... + 1158500.

Almost surely, 2^5873432760 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 5873432760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10881070200).

5873432760 is an abundant number, since it is smaller than the sum of its proper divisors (15888707640).

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

5873432760 is a wasteful number, since it uses less digits than its factorization.

5873432760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 5873432760 is about 76638.3243553772. The cubic root of 5873432760 is about 1804.2525748327.

The spelling of 5873432760 in words is "five billion, eight hundred seventy-three million, four hundred thirty-two thousand, seven hundred sixty".