6789656160 has 576 divisors, whose sum is σ = 27512110080. Its totient is φ = 1492807680.

The previous prime is 6789656149. The next prime is 6789656171. The reversal of 6789656160 is 616569876.

6789656160 is a `hidden beast` number, since 6 + 78 + 9 + 6 + 561 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6789656149) and next prime (6789656171).

It is a junction number, because it is equal to n+sod(n) for n = 6789656097 and 6789656106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37930951 + ... + 37931129.

It is an arithmetic number, because the mean of its divisors is an integer number (47764080).

Almost surely, 2^6789656160 is an apocalyptic number.

6789656160 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 6789656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13756055040).

6789656160 is an abundant number, since it is smaller than the sum of its proper divisors (20722453920).

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

6789656160 is a wasteful number, since it uses less digits than its factorization.

6789656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 6789656160 is about 82399.3699005035. The cubic root of 6789656160 is about 1893.5753602964.

The spelling of 6789656160 in words is "six billion, seven hundred eighty-nine million, six hundred fifty-six thousand, one hundred sixty".