8867621664 has 384 divisors, whose sum is σ = 29785190400. Its totient is φ = 2540482560.

The previous prime is 8867621663. The next prime is 8867621669. The reversal of 8867621664 is 4661267688.

8867621664 is a `hidden beast` number, since 8 + 8 + 6 + 7 + 621 + 6 + 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 8867621664.

It is not an unprimeable number, because it can be changed into a prime (8867621663) 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 63 ways as a sum of consecutive naturals, for example, 24700717 + ... + 24701075.

It is an arithmetic number, because the mean of its divisors is an integer number (77565600).

Almost surely, 2^8867621664 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 8867621664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892595200).

8867621664 is an abundant number, since it is smaller than the sum of its proper divisors (20917568736).

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

8867621664 is a wasteful number, since it uses less digits than its factorization.

8867621664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 8867621664 is about 94168.0501231708. The cubic root of 8867621664 is about 2069.8349626876.

The spelling of 8867621664 in words is "eight billion, eight hundred sixty-seven million, six hundred twenty-one thousand, six hundred sixty-four".