6133077864 has 64 divisors (see below), whose sum is σ = 17082225600. Its totient is φ = 2038851648.

The previous prime is 6133077859. The next prime is 6133077869. The reversal of 6133077864 is 4687703316.

It is an interprime number because it is at equal distance from previous prime (6133077859) and next prime (6133077869).

It is a super-2 number, since 2×6133077864² = 75229288171773604992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6133077869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42507 + ... + 118629.

It is an arithmetic number, because the mean of its divisors is an integer number (266909775).

Almost surely, 2^6133077864 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 6133077864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8541112800).

6133077864 is an abundant number, since it is smaller than the sum of its proper divisors (10949147736).

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

6133077864 is a wasteful number, since it uses less digits than its factorization.

6133077864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76511 (or 76501 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6133077864 is about 78313.9697882823. The cubic root of 6133077864 is about 1830.4568383782.

The spelling of 6133077864 in words is "six billion, one hundred thirty-three million, seventy-seven thousand, eight hundred sixty-four".