6830199527424 has 768 divisors, whose sum is σ = 23048355133440. Its totient is φ = 1750927933440.

The previous prime is 6830199527383. The next prime is 6830199527491. The reversal of 6830199527424 is 4247259910386.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2897834854 + ... + 2897837210.

It is an arithmetic number, because the mean of its divisors is an integer number (30010879080).

It is a 1-persistent number, because it is pandigital, but 2⋅6830199527424 = 13660399054848 is not.

Almost surely, 2^{6830199527424} is an apocalyptic number.

6830199527424 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 6830199527424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11524177566720).

6830199527424 is an abundant number, since it is smaller than the sum of its proper divisors (16218155606016).

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

6830199527424 is a wasteful number, since it uses less digits than its factorization.

6830199527424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 6830199527424 in words is "six trillion, eight hundred thirty billion, one hundred ninety-nine million, five hundred twenty-seven thousand, four hundred twenty-four".