6057762048 has 216 divisors, whose sum is σ = 19917680328. Its totient is φ = 1754136576.

The previous prime is 6057762023. The next prime is 6057762059. The reversal of 6057762048 is 8402677506.

It can be written as a sum of positive squares in 4 ways, for example, as 2520843264 + 3536918784 = 50208^2 + 59472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6057761994 and 6057762012.

It is a congruent number.

It is an unprimeable number.

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, 503236 + ... + 515132.

It is an arithmetic number, because the mean of its divisors is an integer number (92211483).

Almost surely, 2^6057762048 is an apocalyptic number.

6057762048 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6057762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9958840164).

6057762048 is an abundant number, since it is smaller than the sum of its proper divisors (13859918280).

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

6057762048 is a wasteful number, since it uses less digits than its factorization.

6057762048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11949 (or 11932 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6057762048 is about 77831.6262710731. The cubic root of 6057762048 is about 1822.9331249420.

The spelling of 6057762048 in words is "six billion, fifty-seven million, seven hundred sixty-two thousand, forty-eight".