7826513436 has 72 divisors (see below), whose sum is σ = 23603786640. Its totient is φ = 2236145184.

The previous prime is 7826513413. The next prime is 7826513437. The reversal of 7826513436 is 6343156287.

7826513436 is a `hidden beast` number, since 78 + 26 + 513 + 43 + 6 = 666.

It is a super-2 number, since 2×7826513436² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7826513391 and 7826513400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7826513437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734175 + ... + 744758.

It is an arithmetic number, because the mean of its divisors is an integer number (327830370).

Almost surely, 2^7826513436 is an apocalyptic number.

It is an amenable number.

7826513436 is an abundant number, since it is smaller than the sum of its proper divisors (15777273204).

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

7826513436 is a wasteful number, since it uses less digits than its factorization.

7826513436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478960 (or 1478945 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 7826513436 is about 88467.5840972274. The cubic root of 7826513436 is about 1985.4370032743.

The spelling of 7826513436 in words is "seven billion, eight hundred twenty-six million, five hundred thirteen thousand, four hundred thirty-six".