6673505664600 has 288 divisors, whose sum is σ = 23420229580800. Its totient is φ = 1699756819200.

The previous prime is 6673505664569. The next prime is 6673505664601. The reversal of 6673505664600 is 64665053766.

6673505664600 is a `hidden beast` number, since 6 + 6 + 7 + 35 + 0 + 566 + 46 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6673505664601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28490761 + ... + 28724039.

It is an arithmetic number, because the mean of its divisors is an integer number (81320241600).

Almost surely, 2^{6673505664600} is an apocalyptic number.

6673505664600 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 6673505664600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11710114790400).

6673505664600 is an abundant number, since it is smaller than the sum of its proper divisors (16746723916200).

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

6673505664600 is a wasteful number, since it uses less digits than its factorization.

6673505664600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234015 (or 234003 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 6673505664600 in words is "six trillion, six hundred seventy-three billion, five hundred five million, six hundred sixty-four thousand, six hundred".