9648487344672 has 720 divisors, whose sum is σ = 31872320393760. Its totient is φ = 2860320798720.

The previous prime is 9648487344659. The next prime is 9648487344697. The reversal of 9648487344672 is 2764437848469.

9648487344672 is a `hidden beast` number, since 9 + 6 + 4 + 8 + 48 + 73 + 446 + 72 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9648487344672.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4200472228 + ... + 4200474524.

It is an arithmetic number, because the mean of its divisors is an integer number (44267111658).

Almost surely, 2^{9648487344672} 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 9648487344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936160196880).

9648487344672 is an abundant number, since it is smaller than the sum of its proper divisors (22223833049088).

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

9648487344672 is a wasteful number, since it uses less digits than its factorization.

9648487344672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2599 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 72.

The spelling of 9648487344672 in words is "nine trillion, six hundred forty-eight billion, four hundred eighty-seven million, three hundred forty-four thousand, six hundred seventy-two".