6540660456 has 64 divisors (see below), whose sum is σ = 17891340480. Its totient is φ = 1976110080.

The previous prime is 6540660449. The next prime is 6540660473.

It is a happy number.

6540660456 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52210 + ... + 125726.

It is an arithmetic number, because the mean of its divisors is an integer number (279552195).

Almost surely, 2^6540660456 is an apocalyptic number.

6540660456 is a gapful number since it is divisible by the number (66) 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 6540660456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945670240).

6540660456 is an abundant number, since it is smaller than the sum of its proper divisors (11350680024).

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

6540660456 is a wasteful number, since it uses less digits than its factorization.

6540660456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73874 (or 73870 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 6540660456 is about 80874.3498026414. The cubic root of 6540660456 is about 1870.1389180640.

The spelling of 6540660456 in words is "six billion, five hundred forty million, six hundred sixty thousand, four hundred fifty-six".