8136640512 has 960 divisors, whose sum is σ = 33297264000. Its totient is φ = 1950842880.

The previous prime is 8136640459. The next prime is 8136640513. The reversal of 8136640512 is 2150466318.

It is a happy number.

8136640512 is a `hidden beast` number, since 8 + 1 + 3 + 6 + 640 + 5 + 1 + 2 = 666.

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 (8136640513) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 625895418 + ... + 625895430.

It is an arithmetic number, because the mean of its divisors is an integer number (34684650).

Almost surely, 2^8136640512 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 8136640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648632000).

8136640512 is an abundant number, since it is smaller than the sum of its proper divisors (25160623488).

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

8136640512 is a wasteful number, since it uses less digits than its factorization.

8136640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8136640512 is about 90203.3287190667. The cubic root of 8136640512 is about 2011.3224889941.

The spelling of 8136640512 in words is "eight billion, one hundred thirty-six million, six hundred forty thousand, five hundred twelve".