6540982560 has 1152 divisors, whose sum is σ = 29719872000. Its totient is φ = 1300561920.

The previous prime is 6540982517. The next prime is 6540982561. The reversal of 6540982560 is 652890456.

6540982560 is a `hidden beast` number, since 6 + 5 + 4 + 0 + 9 + 82 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540982561) 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 191 ways as a sum of consecutive naturals, for example, 159536140 + ... + 159536180.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500).

Almost surely, 2^6540982560 is an apocalyptic number.

6540982560 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 6540982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936000).

6540982560 is an abundant number, since it is smaller than the sum of its proper divisors (23178889440).

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

6540982560 is a wasteful number, since it uses less digits than its factorization.

6540982560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6540982560 is about 80876.3411635319. The cubic root of 6540982560 is about 1870.1696167650.

The spelling of 6540982560 in words is "six billion, five hundred forty million, nine hundred eighty-two thousand, five hundred sixty".