6133791760 has 160 divisors (see below), whose sum is σ = 15750599040. Its totient is φ = 2211815424.

The previous prime is 6133791739. The next prime is 6133791767. The reversal of 6133791760 is 671973316.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (6133791767) 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, 3098451 + ... + 3100429.

It is an arithmetic number, because the mean of its divisors is an integer number (98441244).

Almost surely, 2^6133791760 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 6133791760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7875299520).

6133791760 is an abundant number, since it is smaller than the sum of its proper divisors (9616807280).

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

6133791760 is a wasteful number, since it uses less digits than its factorization.

6133791760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 43.

The square root of 6133791760 is about 78318.5275653213. The cubic root of 6133791760 is about 1830.5278579188.

The spelling of 6133791760 in words is "six billion, one hundred thirty-three million, seven hundred ninety-one thousand, seven hundred sixty".