8187848064 has 256 divisors, whose sum is σ = 26697888000. Its totient is φ = 2480232960.

The previous prime is 8187848063. The next prime is 8187848069. The reversal of 8187848064 is 4608487818.

8187848064 is a `hidden beast` number, since 81 + 87 + 8 + 480 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8187848064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8187848063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3077967 + ... + 3080625.

It is an arithmetic number, because the mean of its divisors is an integer number (104288625).

Almost surely, 2^8187848064 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 8187848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348944000).

8187848064 is an abundant number, since it is smaller than the sum of its proper divisors (18510039936).

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

8187848064 is an equidigital number, since it uses as much as digits as its factorization.

8187848064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The square root of 8187848064 is about 90486.7286622740. The cubic root of 8187848064 is about 2015.5330551201.

The spelling of 8187848064 in words is "eight billion, one hundred eighty-seven million, eight hundred forty-eight thousand, sixty-four".