7082171712 has 896 divisors, whose sum is σ = 28652175360. Its totient is φ = 1658880000.

The previous prime is 7082171683. The next prime is 7082171717. The reversal of 7082171712 is 2171712807.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7082171717) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 70120462 + ... + 70120562.

Almost surely, 2^7082171712 is an apocalyptic number.

7082171712 is a gapful number since it is divisible by the number (72) 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 7082171712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14326087680).

7082171712 is an abundant number, since it is smaller than the sum of its proper divisors (21570003648).

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

7082171712 is a wasteful number, since it uses less digits than its factorization.

7082171712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The square root of 7082171712 is about 84155.6398110073. The cubic root of 7082171712 is about 1920.3872656329.

The spelling of 7082171712 in words is "seven billion, eighty-two million, one hundred seventy-one thousand, seven hundred twelve".