6005941740720 has 240 divisors, whose sum is σ = 21749375138400. Its totient is φ = 1480283320320.

The previous prime is 6005941740709. The next prime is 6005941740769. The reversal of 6005941740720 is 270471495006.

6005941740720 is a `hidden beast` number, since 6 + 0 + 0 + 594 + 17 + 40 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6005941740720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 4793155 + ... + 5914914.

It is an arithmetic number, because the mean of its divisors is an integer number (90622396410).

Almost surely, 2^{6005941740720} is an apocalyptic number.

6005941740720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005941740720 is an abundant number, since it is smaller than the sum of its proper divisors (15743433397680).

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

6005941740720 is a wasteful number, since it uses less digits than its factorization.

6005941740720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10708148 (or 10708139 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 6005941740720 in words is "six trillion, five billion, nine hundred forty-one million, seven hundred forty thousand, seven hundred twenty".