6057648576 has 168 divisors, whose sum is σ = 19876032384. Its totient is φ = 1727930880.

The previous prime is 6057648559. The next prime is 6057648577. The reversal of 6057648576 is 6758467506.

6057648576 is a `hidden beast` number, since 6 + 0 + 5 + 7 + 64 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6057648577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4720831 + ... + 4722113.

Almost surely, 2^6057648576 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 6057648576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9938016192).

6057648576 is an abundant number, since it is smaller than the sum of its proper divisors (13818383808).

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

6057648576 is a wasteful number, since it uses less digits than its factorization.

6057648576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The square root of 6057648576 is about 77830.8973094876. The cubic root of 6057648576 is about 1822.9217426770.

The spelling of 6057648576 in words is "six billion, fifty-seven million, six hundred forty-eight thousand, five hundred seventy-six".