8499912960 has 1152 divisors, whose sum is σ = 38145945600. Its totient is φ = 1557135360.

The previous prime is 8499912947. The next prime is 8499912989. The reversal of 8499912960 is 692199948.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 8499912960.

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 127 ways as a sum of consecutive naturals, for example, 95504596 + ... + 95504684.

It is an arithmetic number, because the mean of its divisors is an integer number (33112800).

Almost surely, 2^8499912960 is an apocalyptic number.

8499912960 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 8499912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19072972800).

8499912960 is an abundant number, since it is smaller than the sum of its proper divisors (29646032640).

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

8499912960 is a wasteful number, since it uses less digits than its factorization.

8499912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 57.

The square root of 8499912960 is about 92194.9725310442. The cubic root of 8499912960 is about 2040.8205849102.

The spelling of 8499912960 in words is "eight billion, four hundred ninety-nine million, nine hundred twelve thousand, nine hundred sixty".