6789404160 has 960 divisors, whose sum is σ = 30334487040. Its totient is φ = 1362493440.

The previous prime is 6789404081. The next prime is 6789404221. The reversal of 6789404160 is 614049876.

6789404160 is a `hidden beast` number, since 6 + 7 + 89 + 404 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 76285396 + ... + 76285484.

It is an arithmetic number, because the mean of its divisors is an integer number (31598424).

Almost surely, 2^6789404160 is an apocalyptic number.

6789404160 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 6789404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15167243520).

6789404160 is an abundant number, since it is smaller than the sum of its proper divisors (23545082880).

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

6789404160 is a wasteful number, since it uses less digits than its factorization.

6789404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6789404160 is about 82397.8407484080. The cubic root of 6789404160 is about 1893.5519331457.

The spelling of 6789404160 in words is "six billion, seven hundred eighty-nine million, four hundred four thousand, one hundred sixty".