6000936448968 has 384 divisors, whose sum is σ = 18713338675200. Its totient is φ = 1724667033600.

The previous prime is 6000936448933. The next prime is 6000936448979. The reversal of 6000936448968 is 8698446390006.

6000936448968 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 93 + 6 + 4 + 489 + 68 = 666.

It is a super-2 number, since 2×6000936448968² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1242170313 + ... + 1242175143.

It is an arithmetic number, because the mean of its divisors is an integer number (48732652800).

Almost surely, 2^{6000936448968} is an apocalyptic number.

6000936448968 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 6000936448968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356669337600).

6000936448968 is an abundant number, since it is smaller than the sum of its proper divisors (12712402226232).

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

6000936448968 is a wasteful number, since it uses less digits than its factorization.

6000936448968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6633 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 6000936448968 in words is "six trillion, nine hundred thirty-six million, four hundred forty-eight thousand, nine hundred sixty-eight".