6004111374720 has 512 divisors, whose sum is σ = 22201793280000. Its totient is φ = 1530608099328.

The previous prime is 6004111374707. The next prime is 6004111374739. The reversal of 6004111374720 is 274731114006.

6004111374720 is a `hidden beast` number, since 600 + 4 + 1 + 1 + 1 + 3 + 7 + 47 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 968558181 + ... + 968564379.

It is an arithmetic number, because the mean of its divisors is an integer number (43362877500).

Almost surely, 2^{6004111374720} is an apocalyptic number.

6004111374720 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 6004111374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100896640000).

6004111374720 is an abundant number, since it is smaller than the sum of its proper divisors (16197681905280).

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

6004111374720 is a wasteful number, since it uses less digits than its factorization.

6004111374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8687 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 6004111374720 its reverse (274731114006), we get a palindrome (6278842488726).

The spelling of 6004111374720 in words is "six trillion, four billion, one hundred eleven million, three hundred seventy-four thousand, seven hundred twenty".