6577328883312 has 200 divisors, whose sum is σ = 20770276783872. Its totient is φ = 1992844944000.

The previous prime is 6577328883283. The next prime is 6577328883313. The reversal of 6577328883312 is 2133888237756.

6577328883312 is a `hidden beast` number, since 6 + 577 + 3 + 28 + 8 + 8 + 3 + 31 + 2 = 666.

It is a super-2 number, since 2×6577328883312² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6577328883312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6577328883313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113320443 + ... + 113378469.

Almost surely, 2^{6577328883312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6577328883312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10385138391936).

6577328883312 is an abundant number, since it is smaller than the sum of its proper divisors (14192947900560).

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

6577328883312 is a wasteful number, since it uses less digits than its factorization.

6577328883312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66009 (or 65994 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 6577328883312 in words is "six trillion, five hundred seventy-seven billion, three hundred twenty-eight million, eight hundred eighty-three thousand, three hundred twelve".