7142184960 has 192 divisors, whose sum is σ = 23640271200. Its totient is φ = 1838678016.

The previous prime is 7142184913. The next prime is 7142184991. The reversal of 7142184960 is 694812417.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886872 + ... + 894888.

Almost surely, 2^7142184960 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 7142184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11820135600).

7142184960 is an abundant number, since it is smaller than the sum of its proper divisors (16498086240).

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

7142184960 is a wasteful number, since it uses less digits than its factorization.

7142184960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8076 (or 8056 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 7142184960 is about 84511.4486918784. The cubic root of 7142184960 is about 1925.7963723563.

The spelling of 7142184960 in words is "seven billion, one hundred forty-two million, one hundred eighty-four thousand, nine hundred sixty".