6115135264 has 96 divisors (see below), whose sum is σ = 14114580480. Its totient is φ = 2553368832.

The previous prime is 6115135253. The next prime is 6115135289. The reversal of 6115135264 is 4625315116.

It is an unprimeable number.

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, 6924967 + ... + 6925849.

It is an arithmetic number, because the mean of its divisors is an integer number (147026880).

Almost surely, 2^6115135264 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 6115135264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057290240).

6115135264 is an abundant number, since it is smaller than the sum of its proper divisors (7999445216).

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

6115135264 is a wasteful number, since it uses less digits than its factorization.

6115135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 6115135264 is about 78199.3303296134. The cubic root of 6115135264 is about 1828.6700663960.

The spelling of 6115135264 in words is "six billion, one hundred fifteen million, one hundred thirty-five thousand, two hundred sixty-four".