6540324613920 has 480 divisors, whose sum is σ = 23282036826048. Its totient is φ = 1729015621632.

The previous prime is 6540324613919. The next prime is 6540324613973. The reversal of 6540324613920 is 293164230456.

6540324613920 is a `hidden beast` number, since 6 + 5 + 4 + 0 + 3 + 2 + 4 + 613 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 950210799 + ... + 950217681.

Almost surely, 2^{6540324613920} is an apocalyptic number.

6540324613920 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 6540324613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11641018413024).

6540324613920 is an abundant number, since it is smaller than the sum of its proper divisors (16741712212128).

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

6540324613920 is a wasteful number, since it uses less digits than its factorization.

6540324613920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 6540324613920 in words is "six trillion, five hundred forty billion, three hundred twenty-four million, six hundred thirteen thousand, nine hundred twenty".