7127082144 has 432 divisors, whose sum is σ = 25904583432. Its totient is φ = 1841688576.

The previous prime is 7127082119. The next prime is 7127082163. The reversal of 7127082144 is 4412807217.

It can be written as a sum of positive squares in 4 ways, for example, as 6957561744 + 169520400 = 83412^2 + 13020^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7127082099 and 7127082108.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9722802 + ... + 9723534.

Almost surely, 2^7127082144 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 7127082144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12952291716).

7127082144 is an abundant number, since it is smaller than the sum of its proper divisors (18777501288).

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

7127082144 is a wasteful number, since it uses less digits than its factorization.

7127082144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7127082144 is about 84422.0477363585. The cubic root of 7127082144 is about 1924.4379891028.

The spelling of 7127082144 in words is "seven billion, one hundred twenty-seven million, eighty-two thousand, one hundred forty-four".