6546996456 has 192 divisors, whose sum is σ = 22097733120. Its totient is φ = 1569634560.

The previous prime is 6546996427. The next prime is 6546996493.

6546996456 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6546996456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301831 + ... + 322793.

It is an arithmetic number, because the mean of its divisors is an integer number (115092360).

Almost surely, 2^6546996456 is an apocalyptic number.

6546996456 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 6546996456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048866560).

6546996456 is an abundant number, since it is smaller than the sum of its proper divisors (15550736664).

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

6546996456 is a wasteful number, since it uses less digits than its factorization.

6546996456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21016 (or 20999 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 60.

The square root of 6546996456 is about 80913.5121966659. The cubic root of 6546996456 is about 1870.7425969625.

The spelling of 6546996456 in words is "six billion, five hundred forty-six million, nine hundred ninety-six thousand, four hundred fifty-six".