8921404800 has 1152 divisors, whose sum is σ = 41434848000. Its totient is φ = 1841356800.

The previous prime is 8921404711. The next prime is 8921404831. The reversal of 8921404800 is 84041298.

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 (36).

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 143 ways as a sum of consecutive naturals, for example, 59875126 + ... + 59875274.

It is an arithmetic number, because the mean of its divisors is an integer number (35967750).

Almost surely, 2^8921404800 is an apocalyptic number.

8921404800 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 8921404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717424000).

8921404800 is an abundant number, since it is smaller than the sum of its proper divisors (32513443200).

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

8921404800 is a wasteful number, since it uses less digits than its factorization.

8921404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8921404800 is about 94453.1884056859. The cubic root of 8921404800 is about 2074.0111260437.

The spelling of 8921404800 in words is "eight billion, nine hundred twenty-one million, four hundred four thousand, eight hundred".