7128636372 has 288 divisors, whose sum is σ = 23012720640. Its totient is φ = 1827360000.

The previous prime is 7128636371. The next prime is 7128636373. The reversal of 7128636372 is 2736368217.

7128636372 is a `hidden beast` number, since 7 + 1 + 2 + 8 + 6 + 3 + 637 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7128636371) and next prime (7128636373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7128636371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3030997 + ... + 3033347.

It is an arithmetic number, because the mean of its divisors is an integer number (79905280).

Almost surely, 2^7128636372 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 7128636372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11506360320).

7128636372 is an abundant number, since it is smaller than the sum of its proper divisors (15884084268).

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

7128636372 is a wasteful number, since it uses less digits than its factorization.

7128636372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2430 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 7128636372 is about 84431.2523417721. The cubic root of 7128636372 is about 1924.5778686006.

The spelling of 7128636372 in words is "seven billion, one hundred twenty-eight million, six hundred thirty-six thousand, three hundred seventy-two".