7106686216410 has 128 divisors (see below), whose sum is σ = 18642423020544. Its totient is φ = 1719518197760.

The previous prime is 7106686216393. The next prime is 7106686216439. The reversal of 7106686216410 is 146126866017.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7106686216410.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 598855297 + ... + 598867163.

It is an arithmetic number, because the mean of its divisors is an integer number (145643929848).

Almost surely, 2^{7106686216410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7106686216410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9321211510272).

7106686216410 is an abundant number, since it is smaller than the sum of its proper divisors (11535736804134).

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

7106686216410 is a wasteful number, since it uses less digits than its factorization.

7106686216410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15228.

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 7106686216410 in words is "seven trillion, one hundred six billion, six hundred eighty-six million, two hundred sixteen thousand, four hundred ten".