6072813440 has 256 divisors, whose sum is σ = 16755336000. Its totient is φ = 2089156608.

The previous prime is 6072813437. The next prime is 6072813443. The reversal of 6072813440 is 443182706.

It is an interprime number because it is at equal distance from previous prime (6072813437) and next prime (6072813443).

It is a self number, because there is not a number n which added to its sum of digits gives 6072813440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6072813443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5994374 + ... + 5995386.

Almost surely, 2^6072813440 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 6072813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377668000).

6072813440 is an abundant number, since it is smaller than the sum of its proper divisors (10682522560).

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

6072813440 is a wasteful number, since it uses less digits than its factorization.

6072813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 6072813440 is about 77928.2582892753. The cubic root of 6072813440 is about 1824.4416571825.

The spelling of 6072813440 in words is "six billion, seventy-two million, eight hundred thirteen thousand, four hundred forty".