6000971546880 has 864 divisors, whose sum is σ = 22154808469248. Its totient is φ = 1554304204800.

The previous prime is 6000971546861. The next prime is 6000971546881. The reversal of 6000971546880 is 886451790006.

6000971546880 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 97 + 1 + 546 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6000971546881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3277427565 + ... + 3277429395.

It is an arithmetic number, because the mean of its divisors is an integer number (25642139432).

Almost surely, 2^{6000971546880} is an apocalyptic number.

6000971546880 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 6000971546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11077404234624).

6000971546880 is an abundant number, since it is smaller than the sum of its proper divisors (16153836922368).

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

6000971546880 is a wasteful number, since it uses less digits than its factorization.

6000971546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 6000971546880 in words is "six trillion, nine hundred seventy-one million, five hundred forty-six thousand, eight hundred eighty".