6540341760 has 200 divisors, whose sum is σ = 23426180316. Its totient is φ = 1744035840.

The previous prime is 6540341713. The next prime is 6540341789. The reversal of 6540341760 is 671430456.

It is a happy number.

6540341760 is a `hidden beast` number, since 6 + 540 + 3 + 41 + 76 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5414605056 + 1125736704 = 73584^2 + 33552^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 191590 + ... + 223130.

Almost surely, 2^6540341760 is an apocalyptic number.

6540341760 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 6540341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11713090158).

6540341760 is an abundant number, since it is smaller than the sum of its proper divisors (16885838556).

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

6540341760 is an equidigital number, since it uses as much as digits as its factorization.

6540341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31576 (or 31551 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6540341760 is about 80872.3794629539. The cubic root of 6540341760 is about 1870.1085431767.

The spelling of 6540341760 in words is "six billion, five hundred forty million, three hundred forty-one thousand, seven hundred sixty".