8824476960 has 864 divisors, whose sum is σ = 36258243840. Its totient is φ = 2018525184.

The previous prime is 8824476931. The next prime is 8824476971. The reversal of 8824476960 is 696744288.

8824476960 is a `hidden beast` number, since 8 + 82 + 4 + 476 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 8824476897 and 8824476906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111702201 + ... + 111702279.

It is an arithmetic number, because the mean of its divisors is an integer number (41965560).

Almost surely, 2^8824476960 is an apocalyptic number.

8824476960 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 8824476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129121920).

8824476960 is an abundant number, since it is smaller than the sum of its proper divisors (27433766880).

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

8824476960 is a wasteful number, since it uses less digits than its factorization.

8824476960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 8824476960 is about 93938.6872380065. The cubic root of 8824476960 is about 2066.4726315691.

The spelling of 8824476960 in words is "eight billion, eight hundred twenty-four million, four hundred seventy-six thousand, nine hundred sixty".