7415712136 has 64 divisors (see below), whose sum is σ = 16244064000. Its totient is φ = 3172490496.

The previous prime is 7415712131. The next prime is 7415712163. The reversal of 7415712136 is 6312175147.

It is a junction number, because it is equal to n+sod(n) for n = 7415712095 and 7415712104.

It is not an unprimeable number, because it can be changed into a prime (7415712131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1773280 + ... + 1777456.

It is an arithmetic number, because the mean of its divisors is an integer number (253813500).

Almost surely, 2^7415712136 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 7415712136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122032000).

7415712136 is an abundant number, since it is smaller than the sum of its proper divisors (8828351864).

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

7415712136 is a wasteful number, since it uses less digits than its factorization.

7415712136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851 (or 4833 counting only the distinct ones).

The product of its digits is 35280, while the sum is 37.

The square root of 7415712136 is about 86114.5291806209. The cubic root of 7415712136 is about 1950.0733819415.

The spelling of 7415712136 in words is "seven billion, four hundred fifteen million, seven hundred twelve thousand, one hundred thirty-six".