6546393504 has 288 divisors, whose sum is σ = 22186644480. Its totient is φ = 1793456640.

The previous prime is 6546393493. The next prime is 6546393587. The reversal of 6546393504 is 4053936456.

6546393504 is a `hidden beast` number, since 6 + 5 + 4 + 639 + 3 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6546393504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60058602 + ... + 60058710.

It is an arithmetic number, because the mean of its divisors is an integer number (77036960).

Almost surely, 2^6546393504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6546393504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093322240).

6546393504 is an abundant number, since it is smaller than the sum of its proper divisors (15640250976).

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

6546393504 is a wasteful number, since it uses less digits than its factorization.

6546393504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 6546393504 is about 80909.7862066141. The cubic root of 6546393504 is about 1870.6851659137.

The spelling of 6546393504 in words is "six billion, five hundred forty-six million, three hundred ninety-three thousand, five hundred four".