8005137660 has 480 divisors, whose sum is σ = 28304381952. Its totient is φ = 1881169920.

The previous prime is 8005137653. The next prime is 8005137709. The reversal of 8005137660 is 667315008.

8005137660 is a `hidden beast` number, since 80 + 0 + 513 + 7 + 6 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 63032517 + ... + 63032643.

Almost surely, 2^8005137660 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 8005137660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152190976).

8005137660 is an abundant number, since it is smaller than the sum of its proper divisors (20299244292).

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

8005137660 is a wasteful number, since it uses less digits than its factorization.

8005137660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8005137660 is about 89471.4348828720. The cubic root of 8005137660 is about 2000.4280467148.

It can be divided in two parts, 80051 and 37660, that added together give a palindrome (117711).

The spelling of 8005137660 in words is "eight billion, five million, one hundred thirty-seven thousand, six hundred sixty".