6789153401280 has 168 divisors, whose sum is σ = 23360512183632. Its totient is φ = 1809770029056.

The previous prime is 6789153401213. The next prime is 6789153401297. The reversal of 6789153401280 is 821043519876.

6789153401280 is a `hidden beast` number, since 6 + 7 + 8 + 9 + 15 + 340 + 1 + 280 = 666.

It is a super-2 number, since 2×6789153401280² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7360744 + ... + 8231576.

It is a 1-persistent number, because it is pandigital, but 2⋅6789153401280 = 13578306802560 is not.

Almost surely, 2^{6789153401280} is an apocalyptic number.

6789153401280 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 6789153401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11680256091816).

6789153401280 is an abundant number, since it is smaller than the sum of its proper divisors (16571358782352).

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

6789153401280 is a wasteful number, since it uses less digits than its factorization.

6789153401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873563 (or 873550 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 6789153401280 in words is "six trillion, seven hundred eighty-nine billion, one hundred fifty-three million, four hundred one thousand, two hundred eighty".