6133662760 has 64 divisors (see below), whose sum is σ = 14172713280. Its totient is φ = 2387750400.

The previous prime is 6133662749. The next prime is 6133662763. The reversal of 6133662760 is 672663316.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6133662763) 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 15 ways as a sum of consecutive naturals, for example, 480460 + ... + 493060.

It is an arithmetic number, because the mean of its divisors is an integer number (221448645).

Almost surely, 2^6133662760 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 6133662760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086356640).

6133662760 is an abundant number, since it is smaller than the sum of its proper divisors (8039050520).

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

6133662760 is a wasteful number, since it uses less digits than its factorization.

6133662760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12938 (or 12934 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The square root of 6133662760 is about 78317.7040010750. The cubic root of 6133662760 is about 1830.5150251959.

The spelling of 6133662760 in words is "six billion, one hundred thirty-three million, six hundred sixty-two thousand, seven hundred sixty".