8448484884840 has 1536 divisors, whose sum is σ = 38013257318400. Its totient is φ = 1570418565120.

The previous prime is 8448484884821. The next prime is 8448484884863. The reversal of 8448484884840 is 484884848448.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3773328441 + ... + 3773330679.

It is an arithmetic number, because the mean of its divisors is an integer number (24748214400).

Almost surely, 2^{8448484884840} 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 8448484884840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19006628659200).

8448484884840 is an abundant number, since it is smaller than the sum of its proper divisors (29564772433560).

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

8448484884840 is a wasteful number, since it uses less digits than its factorization.

8448484884840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 1073741824, while the sum is 72.

The spelling of 8448484884840 in words is "eight trillion, four hundred forty-eight billion, four hundred eighty-four million, eight hundred eighty-four thousand, eight hundred forty".