8006636160 has 336 divisors, whose sum is σ = 28918910970. Its totient is φ = 2118804480.

The previous prime is 8006636153. The next prime is 8006636203. The reversal of 8006636160 is 616366008.

8006636160 is a `hidden beast` number, since 8 + 0 + 0 + 6 + 636 + 16 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7205972544 + 800663616 = 84888^2 + 28296^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 61119295 + ... + 61119425.

Almost surely, 2^8006636160 is an apocalyptic number.

8006636160 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 8006636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14459455485).

8006636160 is an abundant number, since it is smaller than the sum of its proper divisors (20912274810).

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

8006636160 is an frugal number, since it uses more digits than its factorization.

8006636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 8006636160 is about 89479.8086721245. The cubic root of 8006636160 is about 2000.5528604919.

The spelling of 8006636160 in words is "eight billion, six million, six hundred thirty-six thousand, one hundred sixty".