8764224480 has 288 divisors, whose sum is σ = 32938109568. Its totient is φ = 2104396800.

The previous prime is 8764224409. The next prime is 8764224503. The reversal of 8764224480 is 844224678.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×8764224480³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692295 + ... + 1697465.

It is an arithmetic number, because the mean of its divisors is an integer number (114368436).

Almost surely, 2^8764224480 is an apocalyptic number.

8764224480 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 8764224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469054784).

8764224480 is an abundant number, since it is smaller than the sum of its proper divisors (24173885088).

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

8764224480 is a wasteful number, since it uses less digits than its factorization.

8764224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 8764224480 is about 93617.4368373755. The cubic root of 8764224480 is about 2061.7586766087.

The spelling of 8764224480 in words is "eight billion, seven hundred sixty-four million, two hundred twenty-four thousand, four hundred eighty".