6576938311680 has 2016 divisors, whose sum is σ = 26801577234432. Its totient is φ = 1545067560960.

The previous prime is 6576938311633. The next prime is 6576938311703. The reversal of 6576938311680 is 861138396756.

6576938311680 is a `hidden beast` number, since 6 + 5 + 7 + 69 + 383 + 116 + 80 = 666.

It is a super-2 number, since 2×6576938311680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51786915777 + ... + 51786915903.

It is an arithmetic number, because the mean of its divisors is an integer number (13294433152).

Almost surely, 2^{6576938311680} is an apocalyptic number.

6576938311680 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 6576938311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13400788617216).

6576938311680 is an abundant number, since it is smaller than the sum of its proper divisors (20224638922752).

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

6576938311680 is a wasteful number, since it uses less digits than its factorization.

6576938311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 6576938311680 in words is "six trillion, five hundred seventy-six billion, nine hundred thirty-eight million, three hundred eleven thousand, six hundred eighty".