6047104260096 has 768 divisors, whose sum is σ = 18822585600000. Its totient is φ = 1916706226176.

The previous prime is 6047104260061. The next prime is 6047104260097. The reversal of 6047104260096 is 6900624017406.

6047104260096 is a `hidden beast` number, since 604 + 7 + 10 + 4 + 26 + 0 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6047104260097) by changing a digit.

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, 17326946130 + ... + 17326946478.

It is an arithmetic number, because the mean of its divisors is an integer number (24508575000).

Almost surely, 2^{6047104260096} 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 6047104260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411292800000).

6047104260096 is an abundant number, since it is smaller than the sum of its proper divisors (12775481339904).

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

6047104260096 is a wasteful number, since it uses less digits than its factorization.

6047104260096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 6047104260096 in words is "six trillion, forty-seven billion, one hundred four million, two hundred sixty thousand, ninety-six".