5791576320 has 216 divisors, whose sum is σ = 21217688856. Its totient is φ = 1453522944.

The previous prime is 5791576313. The next prime is 5791576321. The reversal of 5791576320 is 236751975.

5791576320 is a `hidden beast` number, since 5 + 7 + 9 + 1 + 5 + 7 + 632 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 391090176 + 5400486144 = 19776^2 + 73488^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5791576321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181054 + ... + 210626.

It is an arithmetic number, because the mean of its divisors is an integer number (98230041).

Almost surely, 2^5791576320 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 5791576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10608844428).

5791576320 is an abundant number, since it is smaller than the sum of its proper divisors (15426112536).

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

5791576320 is a wasteful number, since it uses less digits than its factorization.

5791576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29617 (or 29600 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 5791576320 is about 76102.4067950548. The cubic root of 5791576320 is about 1795.8315392676.

The spelling of 5791576320 in words is "five billion, seven hundred ninety-one million, five hundred seventy-six thousand, three hundred twenty".