8991924480 has 1152 divisors, whose sum is σ = 41442508800. Its totient is φ = 1791590400.

The previous prime is 8991924479. The next prime is 8991924493. The reversal of 8991924480 is 844291998.

8991924480 is a `hidden beast` number, since 8 + 9 + 9 + 192 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82494666 + ... + 82494774.

It is an arithmetic number, because the mean of its divisors is an integer number (35974400).

Almost surely, 2^8991924480 is an apocalyptic number.

8991924480 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 8991924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20721254400).

8991924480 is an abundant number, since it is smaller than the sum of its proper divisors (32450584320).

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

8991924480 is a wasteful number, since it uses less digits than its factorization.

8991924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 8991924480 is about 94825.7585258352. The cubic root of 8991924480 is about 2079.4614976772.

The spelling of 8991924480 in words is "eight billion, nine hundred ninety-one million, nine hundred twenty-four thousand, four hundred eighty".