5747585760 has 432 divisors, whose sum is σ = 23823779616. Its totient is φ = 1235828736.

The previous prime is 5747585731. The next prime is 5747585791. The reversal of 5747585760 is 675857475.

It is a happy number.

5747585760 is a `hidden beast` number, since 57 + 4 + 7 + 585 + 7 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5747585697 and 5747585706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2912134 + ... + 2914106.

It is an arithmetic number, because the mean of its divisors is an integer number (55147638).

Almost surely, 2^5747585760 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 5747585760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11911889808).

5747585760 is an abundant number, since it is smaller than the sum of its proper divisors (18076193856).

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

5747585760 is a wasteful number, since it uses less digits than its factorization.

5747585760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The square root of 5747585760 is about 75812.8337420519. The cubic root of 5747585760 is about 1791.2731659880.

The spelling of 5747585760 in words is "five billion, seven hundred forty-seven million, five hundred eighty-five thousand, seven hundred sixty".