7150461120 has 756 divisors, whose sum is σ = 29121975792. Its totient is φ = 1608499200.

The previous prime is 7150461119. The next prime is 7150461187. The reversal of 7150461120 is 211640517.

It is a happy number.

It is a super-2 number, since 2×7150461120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 100710685 + ... + 100710755.

It is an arithmetic number, because the mean of its divisors is an integer number (38521132).

Almost surely, 2^7150461120 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 7150461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14560987896).

7150461120 is an abundant number, since it is smaller than the sum of its proper divisors (21971514672).

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

7150461120 is a wasteful number, since it uses less digits than its factorization.

7150461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 7150461120 is about 84560.3992421985. The cubic root of 7150461120 is about 1926.5399378390.

The spelling of 7150461120 in words is "seven billion, one hundred fifty million, four hundred sixty-one thousand, one hundred twenty".