6572063764224 has 216 divisors, whose sum is σ = 21813942215520. Its totient is φ = 1864025800704.

The previous prime is 6572063764177. The next prime is 6572063764229. The reversal of 6572063764224 is 4224673602756.

6572063764224 is a `hidden beast` number, since 6 + 5 + 7 + 206 + 3 + 7 + 6 + 422 + 4 = 666.

It is a super-2 number, since 2×6572063764224² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6572063764229) 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, 722332 + ... + 3696740.

It is an arithmetic number, because the mean of its divisors is an integer number (100990473220).

Almost surely, 2^{6572063764224} is an apocalyptic number.

6572063764224 is a gapful number since it is divisible by the number (64) 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 6572063764224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10906971107760).

6572063764224 is an abundant number, since it is smaller than the sum of its proper divisors (15241878451296).

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

6572063764224 is a wasteful number, since it uses less digits than its factorization.

6572063764224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974575 (or 2974558 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 6572063764224 in words is "six trillion, five hundred seventy-two billion, sixty-three million, seven hundred sixty-four thousand, two hundred twenty-four".