6166071919776 has 384 divisors, whose sum is σ = 17463057131520. Its totient is φ = 1898237952000.

The previous prime is 6166071919747. The next prime is 6166071919801. The reversal of 6166071919776 is 6779191706616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13203579895 + ... + 13203580361.

It is an arithmetic number, because the mean of its divisors is an integer number (45476711280).

Almost surely, 2^{6166071919776} 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 6166071919776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731528565760).

6166071919776 is an abundant number, since it is smaller than the sum of its proper divisors (11296985211744).

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

6166071919776 is a wasteful number, since it uses less digits than its factorization.

6166071919776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 66.

The spelling of 6166071919776 in words is "six trillion, one hundred sixty-six billion, seventy-one million, nine hundred nineteen thousand, seven hundred seventy-six".