6057732096 has 360 divisors, whose sum is σ = 19860430590. Its totient is φ = 1828749312.

The previous prime is 6057732091. The next prime is 6057732097. The reversal of 6057732096 is 6902377506.

6057732096 is a `hidden beast` number, since 605 + 7 + 7 + 32 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5309162496 + 748569600 = 72864^2 + 27360^2 .

It is a super-2 number, since 2×6057732096² = 73392236293817106432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6057732091) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 114296806 + ... + 114296858.

Almost surely, 2^6057732096 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 6057732096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9930215295).

6057732096 is an abundant number, since it is smaller than the sum of its proper divisors (13802698494).

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

6057732096 is an equidigital number, since it uses as much as digits as its factorization.

6057732096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 6057732096 is about 77831.4338554803. The cubic root of 6057732096 is about 1822.9301205001.

The spelling of 6057732096 in words is "six billion, fifty-seven million, seven hundred thirty-two thousand, ninety-six".