6546512000 has 128 divisors (see below), whose sum is σ = 18601764480. Its totient is φ = 2244480000.

The previous prime is 6546511999. The next prime is 6546512023. The reversal of 6546512000 is 2156456.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6546512000² = 85713638732288000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 82775 + ... + 141225.

It is an arithmetic number, because the mean of its divisors is an integer number (145326285).

Almost surely, 2^6546512000 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 6546512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300882240).

6546512000 is an abundant number, since it is smaller than the sum of its proper divisors (12055252480).

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

6546512000 is an equidigital number, since it uses as much as digits as its factorization.

6546512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58487 (or 58465 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 6546512000 is about 80910.5184756593. The cubic root of 6546512000 is about 1870.6964529107.

Adding to 6546512000 its reverse (2156456), we get a palindrome (6548668456).

The spelling of 6546512000 in words is "six billion, five hundred forty-six million, five hundred twelve thousand".