8960484960 has 648 divisors, whose sum is σ = 37082734416. Its totient is φ = 1964390400.

The previous prime is 8960484913. The next prime is 8960484983. The reversal of 8960484960 is 694840698.

It is a junction number, because it is equal to n+sod(n) for n = 8960484897 and 8960484906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 59340885 + ... + 59341035.

It is an arithmetic number, because the mean of its divisors is an integer number (57226442).

Almost surely, 2^8960484960 is an apocalyptic number.

8960484960 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 8960484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541367208).

8960484960 is an abundant number, since it is smaller than the sum of its proper divisors (28122249456).

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

8960484960 is a wasteful number, since it uses less digits than its factorization.

8960484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 8960484960 is about 94659.8381574784. The cubic root of 8960484960 is about 2077.0351125635.

The spelling of 8960484960 in words is "eight billion, nine hundred sixty million, four hundred eighty-four thousand, nine hundred sixty".