6540337440 has 768 divisors, whose sum is σ = 28612362240. Its totient is φ = 1358622720.

The previous prime is 6540337411. The next prime is 6540337451. The reversal of 6540337440 is 447330456.

It is a happy number.

6540337440 is a `hidden beast` number, since 6 + 540 + 3 + 3 + 74 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 6540337395 and 6540337404.

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 127 ways as a sum of consecutive naturals, for example, 49926175 + ... + 49926305.

It is an arithmetic number, because the mean of its divisors is an integer number (37255680).

Almost surely, 2^6540337440 is an apocalyptic number.

6540337440 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 6540337440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306181120).

6540337440 is an abundant number, since it is smaller than the sum of its proper divisors (22072024800).

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

6540337440 is a wasteful number, since it uses less digits than its factorization.

6540337440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 6540337440 is about 80872.3527542015. The cubic root of 6540337440 is about 1870.1081314311.

Adding to 6540337440 its reverse (447330456), we get a palindrome (6987667896).

The spelling of 6540337440 in words is "six billion, five hundred forty million, three hundred thirty-seven thousand, four hundred forty".