8547671664 has 320 divisors, whose sum is σ = 30474240000. Its totient is φ = 2238554880.

The previous prime is 8547671651. The next prime is 8547671687. The reversal of 8547671664 is 4661767458.

8547671664 is a `hidden beast` number, since 8 + 5 + 476 + 7 + 166 + 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 8547671664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1778737 + ... + 1783535.

It is an arithmetic number, because the mean of its divisors is an integer number (95232000).

Almost surely, 2^8547671664 is an apocalyptic number.

8547671664 is a gapful number since it is divisible by the number (84) 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 8547671664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237120000).

8547671664 is an abundant number, since it is smaller than the sum of its proper divisors (21926568336).

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

8547671664 is a wasteful number, since it uses less digits than its factorization.

8547671664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4861 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 8547671664 is about 92453.6189881175. The cubic root of 8547671664 is about 2044.6357207284.

The spelling of 8547671664 in words is "eight billion, five hundred forty-seven million, six hundred seventy-one thousand, six hundred sixty-four".