6002716968 has 96 divisors (see below), whose sum is σ = 17169952800. Its totient is φ = 1889288064.

The previous prime is 6002716921. The next prime is 6002716981. The reversal of 6002716968 is 8696172006.

6002716968 is a `hidden beast` number, since 600 + 27 + 16 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×6002716968² = 72065221995830226048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412830 + ... + 427122.

It is an arithmetic number, because the mean of its divisors is an integer number (178853675).

Almost surely, 2^6002716968 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 6002716968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8584976400).

6002716968 is an abundant number, since it is smaller than the sum of its proper divisors (11167235832).

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

6002716968 is a wasteful number, since it uses less digits than its factorization.

6002716968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14631 (or 14624 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6002716968 is about 77477.2028922057. The cubic root of 6002716968 is about 1817.3948324698.

The spelling of 6002716968 in words is "six billion, two million, seven hundred sixteen thousand, nine hundred sixty-eight".