448070071680 has 3072 divisors, whose sum is σ = 2217272279040. Its totient is φ = 83607552000.

The previous prime is 448070071679. The next prime is 448070071681. The reversal of 448070071680 is 86170070844.

448070071680 is a `hidden beast` number, since 4 + 480 + 7 + 0 + 0 + 7 + 168 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (448070071679) and next prime (448070071681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448070071681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6310846045 + ... + 6310846115.

It is an arithmetic number, because the mean of its divisors is an integer number (721768320).

Almost surely, 2^448070071680 is an apocalyptic number.

448070071680 is a gapful number since it is divisible by the number (40) 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 448070071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108636139520).

448070071680 is an abundant number, since it is smaller than the sum of its proper divisors (1769202207360).

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

448070071680 is a wasteful number, since it uses less digits than its factorization.

448070071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 448070071680 in words is "four hundred forty-eight billion, seventy million, seventy-one thousand, six hundred eighty".