7842165136 has 75 divisors (see below), whose sum is σ = 16586944103. Its totient is φ = 3591831360.

The previous prime is 7842165131. The next prime is 7842165157. The reversal of 7842165136 is 6315612487.

The square root of 7842165136 is 88556.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3888270736 + 3953894400 = 62356^2 + 62880^2 .

It is a super-2 number, since 2×7842165136² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7842165092 and 7842165101.

It is not an unprimeable number, because it can be changed into a prime (7842165131) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 59863791 + ... + 59863921.

Almost surely, 2^7842165136 is an apocalyptic number.

7842165136 is the 88556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7842165136

7842165136 is an abundant number, since it is smaller than the sum of its proper divisors (8744778967).

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

7842165136 is an frugal number, since it uses more digits than its factorization.

7842165136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 146 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The cubic root of 7842165136 is about 1986.7596344545.

The spelling of 7842165136 in words is "seven billion, eight hundred forty-two million, one hundred sixty-five thousand, one hundred thirty-six".