8923920000 has 480 divisors, whose sum is σ = 31565270880. Its totient is φ = 2232576000.

The previous prime is 8923919951. The next prime is 8923920023. The reversal of 8923920000 is 293298.

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 86639949 + ... + 86640051.

It is an arithmetic number, because the mean of its divisors is an integer number (65760981).

Almost surely, 2^8923920000 is an apocalyptic number.

8923920000 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 8923920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15782635440).

8923920000 is an abundant number, since it is smaller than the sum of its proper divisors (22641350880).

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

8923920000 is a wasteful number, since it uses less digits than its factorization.

8923920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 8923920000 is about 94466.5019993860. The cubic root of 8923920000 is about 2074.2060154789.

The spelling of 8923920000 in words is "eight billion, nine hundred twenty-three million, nine hundred twenty thousand".