8925840000 has 1440 divisors, whose sum is σ = 42501270240. Its totient is φ = 1774080000.

The previous prime is 8925839971. The next prime is 8925840017. The reversal of 8925840000 is 485298.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×8925840000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 388079989 + ... + 388080011.

It is an arithmetic number, because the mean of its divisors is an integer number (29514771).

Almost surely, 2^8925840000 is an apocalyptic number.

8925840000 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 8925840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250635120).

8925840000 is an abundant number, since it is smaller than the sum of its proper divisors (33575430240).

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

8925840000 is a wasteful number, since it uses less digits than its factorization.

8925840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8925840000 is about 94476.6637852967. The cubic root of 8925840000 is about 2074.3547613952.

The spelling of 8925840000 in words is "eight billion, nine hundred twenty-five million, eight hundred forty thousand".