6830812815360 has 896 divisors, whose sum is σ = 22998146088960. Its totient is φ = 1729821671424.

The previous prime is 6830812815341. The next prime is 6830812815361. The reversal of 6830812815360 is 635182180386.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6830812815361) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 49142538171 + ... + 49142538309.

It is an arithmetic number, because the mean of its divisors is an integer number (25667573760).

Almost surely, 2^{6830812815360} is an apocalyptic number.

6830812815360 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 6830812815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499073044480).

6830812815360 is an abundant number, since it is smaller than the sum of its proper divisors (16167333273600).

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

6830812815360 is a wasteful number, since it uses less digits than its factorization.

6830812815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 6830812815360 in words is "six trillion, eight hundred thirty billion, eight hundred twelve million, eight hundred fifteen thousand, three hundred sixty".