6546288760 has 96 divisors (see below), whose sum is σ = 16245684000. Its totient is φ = 2372268800.

The previous prime is 6546288757. The next prime is 6546288769. The reversal of 6546288760 is 678826456.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6546288698 and 6546288707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6546288769) 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 23 ways as a sum of consecutive naturals, for example, 1503066 + ... + 1507414.

It is an arithmetic number, because the mean of its divisors is an integer number (169225875).

Almost surely, 2^6546288760 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 6546288760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122842000).

6546288760 is an abundant number, since it is smaller than the sum of its proper divisors (9699395240).

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

6546288760 is a wasteful number, since it uses less digits than its factorization.

6546288760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The square root of 6546288760 is about 80909.1389152054. The cubic root of 6546288760 is about 1870.6751887106.

The spelling of 6546288760 in words is "six billion, five hundred forty-six million, two hundred eighty-eight thousand, seven hundred sixty".