6546345600 has 192 divisors, whose sum is σ = 21766955040. Its totient is φ = 1729105920.

The previous prime is 6546345551. The next prime is 6546345607. The reversal of 6546345600 is 65436456.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (6546345607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024014 + ... + 1030386.

Almost surely, 2^6546345600 is an apocalyptic number.

6546345600 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 6546345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10883477520).

6546345600 is an abundant number, since it is smaller than the sum of its proper divisors (15220609440).

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

6546345600 is a wasteful number, since it uses less digits than its factorization.

6546345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 6546345600 is about 80909.4901726615. The cubic root of 6546345600 is about 1870.6806029167.

The spelling of 6546345600 in words is "six billion, five hundred forty-six million, three hundred forty-five thousand, six hundred".