8448007680 has 480 divisors, whose sum is σ = 34151832000. Its totient is φ = 1929166848.

The previous prime is 8448007679. The next prime is 8448007699. The reversal of 8448007680 is 867008448.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8448007680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7902186 + ... + 7903254.

It is an arithmetic number, because the mean of its divisors is an integer number (71149650).

Almost surely, 2^8448007680 is an apocalyptic number.

8448007680 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 8448007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075916000).

8448007680 is an abundant number, since it is smaller than the sum of its proper divisors (25703824320).

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

8448007680 is a wasteful number, since it uses less digits than its factorization.

8448007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8448007680 is about 91913.0441232364. The cubic root of 8448007680 is about 2036.6579650325.

The spelling of 8448007680 in words is "eight billion, four hundred forty-eight million, seven thousand, six hundred eighty".