6546471321600 has 2040 divisors, whose sum is σ = 28790867117760. Its totient is φ = 1444738498560.

The previous prime is 6546471321541. The next prime is 6546471321613. The reversal of 6546471321600 is 61231746456.

6546471321600 is a `hidden beast` number, since 6 + 5 + 4 + 6 + 4 + 7 + 1 + 32 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 225740390386 + ... + 225740390414.

Almost surely, 2^{6546471321600} is an apocalyptic number.

6546471321600 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 6546471321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395433558880).

6546471321600 is an abundant number, since it is smaller than the sum of its proper divisors (22244395796160).

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

6546471321600 is an frugal number, since it uses more digits than its factorization.

6546471321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6546471321600 in words is "six trillion, five hundred forty-six billion, four hundred seventy-one million, three hundred twenty-one thousand, six hundred".