6540633000 has 192 divisors, whose sum is σ = 24117462720. Its totient is φ = 1585584000.

The previous prime is 6540632999. The next prime is 6540633007. The reversal of 6540633000 is 3360456.

6540633000 is a `hidden beast` number, since 654 + 0 + 6 + 3 + 3 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6540633007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65967 + ... + 132033.

It is an arithmetic number, because the mean of its divisors is an integer number (125611785).

Almost surely, 2^6540633000 is an apocalyptic number.

6540633000 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 6540633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12058731360).

6540633000 is an abundant number, since it is smaller than the sum of its proper divisors (17576829720).

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

6540633000 is a wasteful number, since it uses less digits than its factorization.

6540633000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66105 (or 66088 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 6540633000 is about 80874.1800576674. The cubic root of 6540633000 is about 1870.1363012740.

Adding to 6540633000 its reverse (3360456), we get a palindrome (6543993456).

The spelling of 6540633000 in words is "six billion, five hundred forty million, six hundred thirty-three thousand".