7082165970 has 96 divisors (see below), whose sum is σ = 20122712064. Its totient is φ = 1713888000.

The previous prime is 7082165953. The next prime is 7082165971. The reversal of 7082165970 is 795612807.

It is a super-3 number, since 3×7082165970³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7082165971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589039 + ... + 600941.

It is an arithmetic number, because the mean of its divisors is an integer number (209611584).

Almost surely, 2^7082165970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7082165970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061356032).

7082165970 is an abundant number, since it is smaller than the sum of its proper divisors (13040546094).

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

7082165970 is a wasteful number, since it uses less digits than its factorization.

7082165970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12528 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 7082165970 is about 84155.6056956398. The cubic root of 7082165970 is about 1920.3867466365.

The spelling of 7082165970 in words is "seven billion, eighty-two million, one hundred sixty-five thousand, nine hundred seventy".