6546006456 has 32 divisors (see below), whose sum is σ = 17852745600. Its totient is φ = 1983638240.

The previous prime is 6546006443. The next prime is 6546006461.

It is a happy number.

6546006456 is nontrivially palindromic in base 10.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12397476 + ... + 12398003.

It is an arithmetic number, because the mean of its divisors is an integer number (557898300).

Almost surely, 2^6546006456 is an apocalyptic number.

6546006456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6546006456 is an abundant number, since it is smaller than the sum of its proper divisors (11306739144).

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

6546006456 is a wasteful number, since it uses less digits than its factorization.

6546006456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24795499 (or 24795495 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 6546006456 is about 80907.3943221508. The cubic root of 6546006456 is about 1870.6482978162.

The spelling of 6546006456 in words is "six billion, five hundred forty-six million, six thousand, four hundred fifty-six".