6828018960 has 160 divisors (see below), whose sum is σ = 24237020160. Its totient is φ = 1557702144.

The previous prime is 6828018959. The next prime is 6828018971. The reversal of 6828018960 is 698108286.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942231 + ... + 949449.

It is an arithmetic number, because the mean of its divisors is an integer number (151481376).

Almost surely, 2^6828018960 is an apocalyptic number.

6828018960 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 6828018960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118510080).

6828018960 is an abundant number, since it is smaller than the sum of its proper divisors (17409001200).

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

6828018960 is a wasteful number, since it uses less digits than its factorization.

6828018960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7805 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 6828018960 is about 82631.8277663032. The cubic root of 6828018960 is about 1897.1350135805.

The spelling of 6828018960 in words is "six billion, eight hundred twenty-eight million, eighteen thousand, nine hundred sixty".