6000609226752 has 1040 divisors, whose sum is σ = 20999247565824. Its totient is φ = 1672151040000.

The previous prime is 6000609226739. The next prime is 6000609226793. The reversal of 6000609226752 is 2576229060006.

It is a super-2 number, since 2×6000609226752² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6000609226698 and 6000609226707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24898793352 + ... + 24898793592.

Almost surely, 2^{6000609226752} 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 6000609226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499623782912).

6000609226752 is an abundant number, since it is smaller than the sum of its proper divisors (14998638339072).

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

6000609226752 is a wasteful number, since it uses less digits than its factorization.

6000609226752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 6000609226752 in words is "six trillion, six hundred nine million, two hundred twenty-six thousand, seven hundred fifty-two".