8126536320 has 288 divisors, whose sum is σ = 32644621620. Its totient is φ = 1857429504.

The previous prime is 8126536309. The next prime is 8126536321. The reversal of 8126536320 is 236356218.

It is a happy number.

8126536320 is a `hidden beast` number, since 8 + 12 + 6 + 5 + 3 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7838623296 + 287913024 = 88536^2 + 16968^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8126536321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267844 + ... + 296636.

Almost surely, 2^8126536320 is an apocalyptic number.

8126536320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8126536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16322310810).

8126536320 is an abundant number, since it is smaller than the sum of its proper divisors (24518085300).

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

8126536320 is a wasteful number, since it uses less digits than its factorization.

8126536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28832 (or 28810 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 8126536320 is about 90147.3034538471. The cubic root of 8126536320 is about 2010.4895814915.

It can be divided in two parts, 8126 and 536320, that added together give a triangular number (544446 = T₁₀₄₃).

The spelling of 8126536320 in words is "eight billion, one hundred twenty-six million, five hundred thirty-six thousand, three hundred twenty".