8818729920 has 2016 divisors, whose sum is σ = 45532730880. Its totient is φ = 1532805120.

The previous prime is 8818729879. The next prime is 8818729937. The reversal of 8818729920 is 299278188.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 383423029 + ... + 383423051.

It is an arithmetic number, because the mean of its divisors is an integer number (22585680).

Almost surely, 2^8818729920 is an apocalyptic number.

8818729920 is a gapful number since it is divisible by the number (80) 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 8818729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766365440).

8818729920 is an abundant number, since it is smaller than the sum of its proper divisors (36714000960).

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

8818729920 is a wasteful number, since it uses less digits than its factorization.

8818729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 8818729920 is about 93908.0929419824. The cubic root of 8818729920 is about 2066.0239296231.

The spelling of 8818729920 in words is "eight billion, eight hundred eighteen million, seven hundred twenty-nine thousand, nine hundred twenty".