8821408064 has 84 divisors (see below), whose sum is σ = 20650260960. Its totient is φ = 3727261440.

The previous prime is 8821408049. The next prime is 8821408091. The reversal of 8821408064 is 4608041288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202847 + ... + 242465.

It is an arithmetic number, because the mean of its divisors is an integer number (245836440).

Almost surely, 2^8821408064 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 8821408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10325130480).

8821408064 is an abundant number, since it is smaller than the sum of its proper divisors (11828852896).

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

8821408064 is a wasteful number, since it uses less digits than its factorization.

8821408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39716 (or 39699 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 8821408064 is about 93922.3512482519. The cubic root of 8821408064 is about 2066.2330508012.

The spelling of 8821408064 in words is "eight billion, eight hundred twenty-one million, four hundred eight thousand, sixty-four".