6573327305220 has 384 divisors, whose sum is σ = 22400946247680. Its totient is φ = 1590354984960.

The previous prime is 6573327305201. The next prime is 6573327305227. The reversal of 6573327305220 is 225037233756.

6573327305220 is a `hidden beast` number, since 6 + 5 + 7 + 332 + 7 + 305 + 2 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6573327305227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 677867412 + ... + 677877108.

It is an arithmetic number, because the mean of its divisors is an integer number (58335797520).

Almost surely, 2^{6573327305220} is an apocalyptic number.

6573327305220 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 6573327305220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11200473123840).

6573327305220 is an abundant number, since it is smaller than the sum of its proper divisors (15827618942460).

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

6573327305220 is a wasteful number, since it uses less digits than its factorization.

6573327305220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11372 (or 11364 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 45.

The spelling of 6573327305220 in words is "six trillion, five hundred seventy-three billion, three hundred twenty-seven million, three hundred five thousand, two hundred twenty".