7100084160 has 560 divisors, whose sum is σ = 28656381600. Its totient is φ = 1654235136.

The previous prime is 7100084149. The next prime is 7100084161. The reversal of 7100084160 is 614800017.

It is a happy number.

It is a super-2 number, since 2×7100084160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7100084161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6401686 + ... + 6402794.

It is an arithmetic number, because the mean of its divisors is an integer number (51172110).

Almost surely, 2^7100084160 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 7100084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328190800).

7100084160 is an abundant number, since it is smaller than the sum of its proper divisors (21556297440).

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

7100084160 is a wasteful number, since it uses less digits than its factorization.

7100084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7100084160 is about 84261.9971280055. The cubic root of 7100084160 is about 1922.0049368900.

Adding to 7100084160 its reverse (614800017), we get a palindrome (7714884177).

The spelling of 7100084160 in words is "seven billion, one hundred million, eighty-four thousand, one hundred sixty".