6591966642272 has 96 divisors (see below), whose sum is σ = 14283157109760. Its totient is φ = 2969877818880.

The previous prime is 6591966642251. The next prime is 6591966642293. The reversal of 6591966642272 is 2722466691956.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6591966642251) and next prime (6591966642293).

It is a junction number, because it is equal to n+sod(n) for n = 6591966642199 and 6591966642208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29588318 + ... + 29810274.

It is an arithmetic number, because the mean of its divisors is an integer number (148782886560).

Almost surely, 2^{6591966642272} 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 6591966642272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7141578554880).

6591966642272 is an abundant number, since it is smaller than the sum of its proper divisors (7691190467488).

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

6591966642272 is a wasteful number, since it uses less digits than its factorization.

6591966642272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222724 (or 222716 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 65.

The spelling of 6591966642272 in words is "six trillion, five hundred ninety-one billion, nine hundred sixty-six million, six hundred forty-two thousand, two hundred seventy-two".