6072982336 has 112 divisors (see below), whose sum is σ = 13094208000. Its totient is φ = 2787563520.

The previous prime is 6072982313. The next prime is 6072982337. The reversal of 6072982336 is 6332892706.

It is a super-2 number, since 2×6072982336² = 73762228906736033792, which contains 22 as substring.

6072982336 is a Rhonda number in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6072982337) 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 15 ways as a sum of consecutive naturals, for example, 3393730 + ... + 3395518.

Almost surely, 2^6072982336 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 6072982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547104000).

6072982336 is an abundant number, since it is smaller than the sum of its proper divisors (7021225664).

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

6072982336 is a wasteful number, since it uses less digits than its factorization.

6072982336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The square root of 6072982336 is about 77929.3419451236. The cubic root of 6072982336 is about 1824.4585707073.

The spelling of 6072982336 in words is "six billion, seventy-two million, nine hundred eighty-two thousand, three hundred thirty-six".