6027516960 has 96 divisors (see below), whose sum is σ = 19057151232. Its totient is φ = 1601372160.

The previous prime is 6027516893. The next prime is 6027516967. The reversal of 6027516960 is 696157206.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6027516967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106912 + ... + 153248.

It is an arithmetic number, because the mean of its divisors is an integer number (198511992).

Almost surely, 2^6027516960 is an apocalyptic number.

6027516960 is a gapful number since it is divisible by the number (60) 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 6027516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528575616).

6027516960 is an abundant number, since it is smaller than the sum of its proper divisors (13029634272).

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

6027516960 is a wasteful number, since it uses less digits than its factorization.

6027516960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46626 (or 46618 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 6027516960 is about 77637.0849530043. The cubic root of 6027516960 is about 1819.8942256283.

The spelling of 6027516960 in words is "six billion, twenty-seven million, five hundred sixteen thousand, nine hundred sixty".