8610448896 has 480 divisors, whose sum is σ = 29959987200. Its totient is φ = 2329067520.

The previous prime is 8610448883. The next prime is 8610448897. The reversal of 8610448896 is 6988440168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8610448897) 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, 78994890 + ... + 78994998.

It is an arithmetic number, because the mean of its divisors is an integer number (62416640).

Almost surely, 2^8610448896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8610448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14979993600).

8610448896 is an abundant number, since it is smaller than the sum of its proper divisors (21349538304).

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

8610448896 is a wasteful number, since it uses less digits than its factorization.

8610448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 8610448896 is about 92792.5045248807. The cubic root of 8610448896 is about 2049.6290342824.

The spelling of 8610448896 in words is "eight billion, six hundred ten million, four hundred forty-eight thousand, eight hundred ninety-six".