6540493440 has 256 divisors, whose sum is σ = 23429710080. Its totient is φ = 1539833856.

The previous prime is 6540493433. The next prime is 6540493451. The reversal of 6540493440 is 443940456.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568384 + ... + 579776.

It is an arithmetic number, because the mean of its divisors is an integer number (91522305).

Almost surely, 2^6540493440 is an apocalyptic number.

6540493440 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 6540493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714855040).

6540493440 is an abundant number, since it is smaller than the sum of its proper divisors (16889216640).

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

6540493440 is a wasteful number, since it uses less digits than its factorization.

6540493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11451 (or 11439 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 6540493440 is about 80873.3172313341. The cubic root of 6540493440 is about 1870.1229999070.

The spelling of 6540493440 in words is "six billion, five hundred forty million, four hundred ninety-three thousand, four hundred forty".