8609448960 has 1056 divisors, whose sum is σ = 37635978240. Its totient is φ = 1857945600.

The previous prime is 8609448937. The next prime is 8609448977. The reversal of 8609448960 is 698449068.

It is a super-2 number, since 2×8609448960² (a number of 21 digits) contains 22 as substring.

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 = 8609448897 and 8609448906.

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, 209986540 + ... + 209986580.

Almost surely, 2^8609448960 is an apocalyptic number.

8609448960 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 8609448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18817989120).

8609448960 is an abundant number, since it is smaller than the sum of its proper divisors (29026529280).

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

8609448960 is a wasteful number, since it uses less digits than its factorization.

8609448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

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

The square root of 8609448960 is about 92787.1163470446. The cubic root of 8609448960 is about 2049.5496897084.

The spelling of 8609448960 in words is "eight billion, six hundred nine million, four hundred forty-eight thousand, nine hundred sixty".