8491584960 has 336 divisors, whose sum is σ = 30126919680. Its totient is φ = 2194053120.

The previous prime is 8491584869. The next prime is 8491584967. The reversal of 8491584960 is 694851948.

8491584960 is a `hidden beast` number, since 8 + 491 + 58 + 49 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8491584897 and 8491584906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8491584967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23653261 + ... + 23653619.

Almost surely, 2^8491584960 is an apocalyptic number.

8491584960 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 8491584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15063459840).

8491584960 is an abundant number, since it is smaller than the sum of its proper divisors (21635334720).

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

8491584960 is a wasteful number, since it uses less digits than its factorization.

8491584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 8491584960 is about 92149.7963101384. The cubic root of 8491584960 is about 2040.1538522950.

The spelling of 8491584960 in words is "eight billion, four hundred ninety-one million, five hundred eighty-four thousand, nine hundred sixty".