5740580160 has 560 divisors, whose sum is σ = 24164300160. Its totient is φ = 1265725440.

The previous prime is 5740580147. The next prime is 5740580231. The reversal of 5740580160 is 610850475.

5740580160 is a `hidden beast` number, since 5 + 74 + 0 + 580 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 5261215 + ... + 5262305.

It is an arithmetic number, because the mean of its divisors is an integer number (43150536).

Almost surely, 2^5740580160 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 5740580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082150080).

5740580160 is an abundant number, since it is smaller than the sum of its proper divisors (18423720000).

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

5740580160 is a wasteful number, since it uses less digits than its factorization.

5740580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5740580160 is about 75766.6163953492. The cubic root of 5740580160 is about 1790.5450895508.

The spelling of 5740580160 in words is "five billion, seven hundred forty million, five hundred eighty thousand, one hundred sixty".