6789132342720 has 4032 divisors, whose sum is σ = 32621672079360. Its totient is φ = 1279195545600.

The previous prime is 6789132342631. The next prime is 6789132342779. The reversal of 6789132342720 is 272432319876.

It is a happy number.

6789132342720 is a `hidden beast` number, since 6 + 7 + 89 + 132 + 3 + 427 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 65913906189 + ... + 65913906291.

It is an arithmetic number, because the mean of its divisors is an integer number (8090692480).

Almost surely, 2^{6789132342720} is an apocalyptic number.

6789132342720 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 6789132342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16310836039680).

6789132342720 is an abundant number, since it is smaller than the sum of its proper divisors (25832539736640).

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

6789132342720 is a wasteful number, since it uses less digits than its factorization.

6789132342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 6789132342720 in words is "six trillion, seven hundred eighty-nine billion, one hundred thirty-two million, three hundred forty-two thousand, seven hundred twenty".