6115335072 has 192 divisors, whose sum is σ = 20214448128. Its totient is φ = 1572480000.

The previous prime is 6115335071. The next prime is 6115335089. The reversal of 6115335072 is 2705335116.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (6115335071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742497 + ... + 750687.

It is an arithmetic number, because the mean of its divisors is an integer number (105283584).

Almost surely, 2^6115335072 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 6115335072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10107224064).

6115335072 is an abundant number, since it is smaller than the sum of its proper divisors (14099113056).

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

6115335072 is a wasteful number, since it uses less digits than its factorization.

6115335072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 6115335072 is about 78200.6078748752. The cubic root of 6115335072 is about 1828.6899830407.

It can be divided in two parts, 611533 and 5072, that added together give a triangular number (616605 = T₁₁₁₀).

The spelling of 6115335072 in words is "six billion, one hundred fifteen million, three hundred thirty-five thousand, seventy-two".