7286363136 has 264 divisors, whose sum is σ = 23052151304. Its totient is φ = 2202992640.

The previous prime is 7286363099. The next prime is 7286363137. The reversal of 7286363136 is 6313636827.

7286363136 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 3 + 631 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68161536 + 7218201600 = 8256^2 + 84960^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7286363091 and 7286363100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7286363137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7307790 + ... + 7308786.

Almost surely, 2^7286363136 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 7286363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11526075652).

7286363136 is an abundant number, since it is smaller than the sum of its proper divisors (15765788168).

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

7286363136 is a wasteful number, since it uses less digits than its factorization.

7286363136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1076 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 7286363136 is about 85360.1964383869. The cubic root of 7286363136 is about 1938.6687235263.

The spelling of 7286363136 in words is "seven billion, two hundred eighty-six million, three hundred sixty-three thousand, one hundred thirty-six".