6068971776000 has 384 divisors, whose sum is σ = 23077285620480. Its totient is φ = 1387192320000.

The previous prime is 6068971775989. The next prime is 6068971776019. The reversal of 6068971776000 is 6771798606.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4811550 + ... + 5940450.

It is an arithmetic number, because the mean of its divisors is an integer number (60097097970).

Almost surely, 2^{6068971776000} is an apocalyptic number.

6068971776000 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 6068971776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11538642810240).

6068971776000 is an abundant number, since it is smaller than the sum of its proper divisors (17008313844480).

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

6068971776000 is a wasteful number, since it uses less digits than its factorization.

6068971776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128948 (or 1128918 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 6068971776000 in words is "six trillion, sixty-eight billion, nine hundred seventy-one million, seven hundred seventy-six thousand".