6058660608 has 864 divisors, whose sum is σ = 24427533312. Its totient is φ = 1393459200.

The previous prime is 6058660577. The next prime is 6058660609. The reversal of 6058660608 is 8060668506.

6058660608 is a `hidden beast` number, since 6 + 0 + 586 + 6 + 0 + 60 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6058660609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85333213 + ... + 85333283.

It is an arithmetic number, because the mean of its divisors is an integer number (28272608).

Almost surely, 2^6058660608 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 6058660608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213766656).

6058660608 is an abundant number, since it is smaller than the sum of its proper divisors (18368872704).

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

6058660608 is a wasteful number, since it uses less digits than its factorization.

6058660608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6058660608 is about 77837.3985176791. The cubic root of 6058660608 is about 1823.0232535953.

It can be divided in two parts, 6058 and 660608, that added together give a palindrome (666666).

The spelling of 6058660608 in words is "six billion, fifty-eight million, six hundred sixty thousand, six hundred eight".