7106682085008 has 160 divisors (see below), whose sum is σ = 20571791035392. Its totient is φ = 2095074086400.

The previous prime is 7106682085001. The next prime is 7106682085093. The reversal of 7106682085008 is 8005802866017.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7106682085001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202043263 + ... + 202078433.

Almost surely, 2^{7106682085008} 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 7106682085008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285895517696).

7106682085008 is an abundant number, since it is smaller than the sum of its proper divisors (13465108950384).

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

7106682085008 is a wasteful number, since it uses less digits than its factorization.

7106682085008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45573 (or 45567 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 7106682085008 in words is "seven trillion, one hundred six billion, six hundred eighty-two million, eighty-five thousand, eight".