6004233740800 has 60 divisors (see below), whose sum is σ = 14875958205306. Its totient is φ = 2401693491200.

The previous prime is 6004233740779. The next prime is 6004233740803. The reversal of 6004233740800 is 80473324006.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5271689472256 + 732544268544 = 2296016^2 + 855888^2 .

It is a super-2 number, since 2×6004233740800² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6004233740800.

It is not an unprimeable number, because it can be changed into a prime (6004233740803) 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 5 ways as a sum of consecutive naturals, for example, 234527581 + ... + 234553180.

Almost surely, 2^{6004233740800} is an apocalyptic number.

It is an amenable number.

6004233740800 is an abundant number, since it is smaller than the sum of its proper divisors (8871724464506).

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

6004233740800 is an equidigital number, since it uses as much as digits as its factorization.

6004233740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469080789 (or 469080768 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 6004233740800 in words is "six trillion, four billion, two hundred thirty-three million, seven hundred forty thousand, eight hundred".