6540768000 has 432 divisors, whose sum is σ = 25360529376. Its totient is φ = 1609113600.

The previous prime is 6540767999. The next prime is 6540768029. The reversal of 6540768000 is 8670456.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 3743127 + ... + 3744873.

Almost surely, 2^6540768000 is an apocalyptic number.

6540768000 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 6540768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680264688).

6540768000 is an abundant number, since it is smaller than the sum of its proper divisors (18819761376).

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

6540768000 is a wasteful number, since it uses less digits than its factorization.

6540768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6540768000 is about 80875.0146831517. The cubic root of 6540768000 is about 1870.1491678504.

The spelling of 6540768000 in words is "six billion, five hundred forty million, seven hundred sixty-eight thousand".