6591972638160 has 960 divisors, whose sum is σ = 27905638924800. Its totient is φ = 1385694535680.

The previous prime is 6591972638159. The next prime is 6591972638179. The reversal of 6591972638160 is 618362791956.

6591972638160 is a `hidden beast` number, since 6 + 5 + 9 + 197 + 2 + 6 + 381 + 60 = 666.

It is a super-2 number, since 2×6591972638160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 902141227 + ... + 902148533.

It is an arithmetic number, because the mean of its divisors is an integer number (29068373880).

Almost surely, 2^{6591972638160} is an apocalyptic number.

6591972638160 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 6591972638160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952819462400).

6591972638160 is an abundant number, since it is smaller than the sum of its proper divisors (21313666286640).

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

6591972638160 is a wasteful number, since it uses less digits than its factorization.

6591972638160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 6591972638160 in words is "six trillion, five hundred ninety-one billion, nine hundred seventy-two million, six hundred thirty-eight thousand, one hundred sixty".