6830756400000 has 1536 divisors, whose sum is σ = 26505553536000. Its totient is φ = 1543127040000.

The previous prime is 6830756399993. The next prime is 6830756400011. The reversal of 6830756400000 is 46570386.

It is a super-2 number, since 2×6830756400000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 191 ways as a sum of consecutive naturals, for example, 11403599701 + ... + 11403600299.

It is an arithmetic number, because the mean of its divisors is an integer number (17256219750).

Almost surely, 2^{6830756400000} is an apocalyptic number.

6830756400000 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 6830756400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13252776768000).

6830756400000 is an abundant number, since it is smaller than the sum of its proper divisors (19674797136000).

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

6830756400000 is a wasteful number, since it uses less digits than its factorization.

6830756400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 6830756400000 in words is "six trillion, eight hundred thirty billion, seven hundred fifty-six million, four hundred thousand".