6894789120 has 320 divisors, whose sum is σ = 25561578240. Its totient is φ = 1758265344.

The previous prime is 6894789113. The next prime is 6894789137. The reversal of 6894789120 is 219874986.

6894789120 is a `hidden beast` number, since 6 + 89 + 478 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1587592 + ... + 1591928.

It is an arithmetic number, because the mean of its divisors is an integer number (79879932).

Almost surely, 2^6894789120 is an apocalyptic number.

6894789120 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 6894789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780789120).

6894789120 is an abundant number, since it is smaller than the sum of its proper divisors (18666789120).

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

6894789120 is a wasteful number, since it uses less digits than its factorization.

6894789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 6894789120 is about 83034.8668933720. The cubic root of 6894789120 is about 1903.2988968230.

The spelling of 6894789120 in words is "six billion, eight hundred ninety-four million, seven hundred eighty-nine thousand, one hundred twenty".