6830402568192 has 1280 divisors, whose sum is σ = 25093322496000. Its totient is φ = 1816242683904.

The previous prime is 6830402568181. The next prime is 6830402568193. The reversal of 6830402568192 is 2918652040386.

6830402568192 is a `hidden beast` number, since 6 + 8 + 30 + 40 + 2 + 568 + 1 + 9 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6830402568193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184605474798 + ... + 184605474834.

It is an arithmetic number, because the mean of its divisors is an integer number (19604158200).

Almost surely, 2^{6830402568192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6830402568192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546661248000).

6830402568192 is an abundant number, since it is smaller than the sum of its proper divisors (18262919927808).

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

6830402568192 is an frugal number, since it uses more digits than its factorization.

6830402568192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6830402568192 in words is "six trillion, eight hundred thirty billion, four hundred two million, five hundred sixty-eight thousand, one hundred ninety-two".