6828966144 has 1080 divisors, whose sum is σ = 28420495488. Its totient is φ = 1602478080.

The previous prime is 6828966143. The next prime is 6828966169. The reversal of 6828966144 is 4416698286.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6828966143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 145297129 + ... + 145297175.

Almost surely, 2^6828966144 is an apocalyptic number.

6828966144 is a gapful number since it is divisible by the number (64) 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 6828966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210247744).

6828966144 is an abundant number, since it is smaller than the sum of its proper divisors (21591529344).

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

6828966144 is a wasteful number, since it uses less digits than its factorization.

6828966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 6828966144 is about 82637.5589184482. The cubic root of 6828966144 is about 1897.2227331596. Note that the first 3 decimals are identical.

The spelling of 6828966144 in words is "six billion, eight hundred twenty-eight million, nine hundred sixty-six thousand, one hundred forty-four".