7082671104000 has 1120 divisors, whose sum is σ = 27965689779456. Its totient is φ = 1777257676800.

The previous prime is 7082671103993. The next prime is 7082671104037. The reversal of 7082671104000 is 4011762807.

7082671104000 is a `hidden beast` number, since 7 + 0 + 82 + 67 + 110 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1410045489 + ... + 1410050511.

Almost surely, 2^{7082671104000} 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 7082671104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13982844889728).

7082671104000 is an abundant number, since it is smaller than the sum of its proper divisors (20883018675456).

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

7082671104000 is an equidigital number, since it uses as much as digits as its factorization.

7082671104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 7082671104000 its reverse (4011762807), we get a palindrome (7086682866807).

The spelling of 7082671104000 in words is "seven trillion, eighty-two billion, six hundred seventy-one million, one hundred four thousand".