8864284800 has 192 divisors, whose sum is σ = 33367953600. Its totient is φ = 2026106880.

The previous prime is 8864284771. The next prime is 8864284811. The reversal of 8864284800 is 84824688.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×8864284800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8864284800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1246 + ... + 133154.

It is an arithmetic number, because the mean of its divisors is an integer number (173791425).

Almost surely, 2^8864284800 is an apocalyptic number.

8864284800 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 8864284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16683976800).

8864284800 is an abundant number, since it is smaller than the sum of its proper divisors (24503668800).

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

8864284800 is a wasteful number, since it uses less digits than its factorization.

8864284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131943 (or 131926 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The square root of 8864284800 is about 94150.3308544373. The cubic root of 8864284800 is about 2069.5753055309.

The spelling of 8864284800 in words is "eight billion, eight hundred sixty-four million, two hundred eighty-four thousand, eight hundred".