6533132760 has 1152 divisors, whose sum is σ = 29578348800. Its totient is φ = 1280240640.

The previous prime is 6533132701. The next prime is 6533132761. The reversal of 6533132760 is 672313356.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6533132761) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 151933299 + ... + 151933341.

It is an arithmetic number, because the mean of its divisors is an integer number (25675650).

Almost surely, 2^6533132760 is an apocalyptic number.

6533132760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6533132760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789174400).

6533132760 is an abundant number, since it is smaller than the sum of its proper divisors (23045216040).

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

6533132760 is a wasteful number, since it uses less digits than its factorization.

6533132760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 6533132760 is about 80827.7969512964. The cubic root of 6533132760 is about 1869.4211902664.

The spelling of 6533132760 in words is "six billion, five hundred thirty-three million, one hundred thirty-two thousand, seven hundred sixty".