6789180948480 has 1280 divisors, whose sum is σ = 28121271552000. Its totient is φ = 1522029035520.

The previous prime is 6789180948479. The next prime is 6789180948497. The reversal of 6789180948480 is 848490819876.

It is a happy number.

6789180948480 is a `hidden beast` number, since 67 + 8 + 9 + 1 + 8 + 0 + 9 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6789180948399 and 6789180948408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35177103264 + ... + 35177103456.

It is an arithmetic number, because the mean of its divisors is an integer number (21969743400).

Almost surely, 2^{6789180948480} is an apocalyptic number.

6789180948480 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 6789180948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14060635776000).

6789180948480 is an abundant number, since it is smaller than the sum of its proper divisors (21332090603520).

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

6789180948480 is an frugal number, since it uses more digits than its factorization.

6789180948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 6789180948480 in words is "six trillion, seven hundred eighty-nine billion, one hundred eighty million, nine hundred forty-eight thousand, four hundred eighty".