6133340072720 has 320 divisors, whose sum is σ = 17373388032000. Its totient is φ = 1965705093120.

The previous prime is 6133340072687. The next prime is 6133340072759. The reversal of 6133340072720 is 272700433316.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1859149631 + ... + 1859152929.

It is an arithmetic number, because the mean of its divisors is an integer number (54291837600).

Almost surely, 2^{6133340072720} 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 6133340072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686694016000).

6133340072720 is an abundant number, since it is smaller than the sum of its proper divisors (11240047959280).

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

6133340072720 is a wasteful number, since it uses less digits than its factorization.

6133340072720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 38.

The spelling of 6133340072720 in words is "six trillion, one hundred thirty-three billion, three hundred forty million, seventy-two thousand, seven hundred twenty".