8826504960 has 864 divisors, whose sum is σ = 36627171840. Its totient is φ = 1771241472.

The previous prime is 8826504949. The next prime is 8826504979. The reversal of 8826504960 is 694056288.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131738847 + ... + 131738913.

It is an arithmetic number, because the mean of its divisors is an integer number (42392560).

Almost surely, 2^8826504960 is an apocalyptic number.

8826504960 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 8826504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18313585920).

8826504960 is an abundant number, since it is smaller than the sum of its proper divisors (27800666880).

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

8826504960 is a wasteful number, since it uses less digits than its factorization.

8826504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 8826504960 is about 93949.4808926585. The cubic root of 8826504960 is about 2066.6309218005.

The spelling of 8826504960 in words is "eight billion, eight hundred twenty-six million, five hundred four thousand, nine hundred sixty".