6830313984 has 480 divisors, whose sum is σ = 22771292544. Its totient is φ = 2030469120.

The previous prime is 6830313983. The next prime is 6830314019. The reversal of 6830313984 is 4893130386.

It is not an unprimeable number, because it can be changed into a prime (6830313983) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 66313677 + ... + 66313779.

Almost surely, 2^6830313984 is an apocalyptic number.

6830313984 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 6830313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11385646272).

6830313984 is an abundant number, since it is smaller than the sum of its proper divisors (15940978560).

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

6830313984 is a wasteful number, since it uses less digits than its factorization.

6830313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6830313984 is about 82645.7136456574. The cubic root of 6830313984 is about 1897.3475438760.

The spelling of 6830313984 in words is "six billion, eight hundred thirty million, three hundred thirteen thousand, nine hundred eighty-four".