6057580752 has 120 divisors (see below), whose sum is σ = 17402636160. Its totient is φ = 1965826560.

The previous prime is 6057580693. The next prime is 6057580829. The reversal of 6057580752 is 2570857506.

6057580752 is a `hidden beast` number, since 6 + 0 + 575 + 8 + 0 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6057580698 and 6057580707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4244263 + ... + 4245689.

It is an arithmetic number, because the mean of its divisors is an integer number (145021968).

Almost surely, 2^6057580752 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 6057580752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701318080).

6057580752 is an abundant number, since it is smaller than the sum of its proper divisors (11345055408).

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

6057580752 is a wasteful number, since it uses less digits than its factorization.

6057580752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 6057580752 is about 77830.4615944169. The cubic root of 6057580752 is about 1822.9149392502.

The spelling of 6057580752 in words is "six billion, fifty-seven million, five hundred eighty thousand, seven hundred fifty-two".