7830841344000 has 480 divisors, whose sum is σ = 26120787079296. Its totient is φ = 2083376332800.

The previous prime is 7830841343971. The next prime is 7830841344017. The reversal of 7830841344000 is 4431480387.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7830841344000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3213310782 + ... + 3213313218.

Almost surely, 2^{7830841344000} 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 7830841344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13060393539648).

7830841344000 is an abundant number, since it is smaller than the sum of its proper divisors (18289945735296).

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

7830841344000 is an equidigital number, since it uses as much as digits as its factorization.

7830841344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 7830841344000 in words is "seven trillion, eight hundred thirty billion, eight hundred forty-one million, three hundred forty-four thousand".