8448000000 has 420 divisors, whose sum is σ = 30718669296. Its totient is φ = 2048000000.

The previous prime is 8447999933. The next prime is 8448000037. The reversal of 8448000000 is 8448.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 767999995 + ... + 768000005.

Almost surely, 2^8448000000 is an apocalyptic number.

8448000000 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 8448000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15359334648).

8448000000 is an abundant number, since it is smaller than the sum of its proper divisors (22270669296).

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

8448000000 is an frugal number, since it uses more digits than its factorization.

8448000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8448000000 is about 91913.0023446085. The cubic root of 8448000000 is about 2036.6573478638.

Adding to 8448000000 its reverse (8448), we get a palindrome (8448008448).

Multiplying 8448000000 by its reverse (8448), we get a square (71368704000000 = 8448000²).

8448000000 divided by its reverse (8448) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 84 and 48000000, that added together give a palindrome (48000084).

The spelling of 8448000000 in words is "eight billion, four hundred forty-eight million", and thus it is an aban number.