5789740320 has 1152 divisors, whose sum is σ = 27104523264. Its totient is φ = 1089994752.

The previous prime is 5789740309. The next prime is 5789740357. The reversal of 5789740320 is 230479875.

5789740320 is a `hidden beast` number, since 578 + 9 + 7 + 40 + 32 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 51236584 + ... + 51236696.

It is an arithmetic number, because the mean of its divisors is an integer number (23528232).

Almost surely, 2^5789740320 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 5789740320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552261632).

5789740320 is an abundant number, since it is smaller than the sum of its proper divisors (21314782944).

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

5789740320 is a wasteful number, since it uses less digits than its factorization.

5789740320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5789740320 is about 76090.3431455004. The cubic root of 5789740320 is about 1795.6417524118.

The spelling of 5789740320 in words is "five billion, seven hundred eighty-nine million, seven hundred forty thousand, three hundred twenty".