6540168096 has 504 divisors, whose sum is σ = 24324304032. Its totient is φ = 1693612800.

The previous prime is 6540168071. The next prime is 6540168097. The reversal of 6540168096 is 6908610456.

6540168096 is a `hidden beast` number, since 6 + 540 + 16 + 8 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540168097) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19758651 + ... + 19758981.

It is an arithmetic number, because the mean of its divisors is an integer number (48262508).

Almost surely, 2^6540168096 is an apocalyptic number.

6540168096 is a gapful number since it is divisible by the number (66) 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 6540168096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162152016).

6540168096 is an abundant number, since it is smaller than the sum of its proper divisors (17784135936).

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

6540168096 is a wasteful number, since it uses less digits than its factorization.

6540168096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6540168096 is about 80871.3057641584. The cubic root of 6540168096 is about 1870.0919908610.

The spelling of 6540168096 in words is "six billion, five hundred forty million, one hundred sixty-eight thousand, ninety-six".