448013479680 has 576 divisors, whose sum is σ = 1716190801920. Its totient is φ = 110018248704.

The previous prime is 448013479679. The next prime is 448013479687. The reversal of 448013479680 is 86974310844.

448013479680 is a `hidden beast` number, since 4 + 4 + 80 + 13 + 479 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448013479687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245755249 + ... + 245757071.

It is an arithmetic number, because the mean of its divisors is an integer number (2979497920).

Almost surely, 2^448013479680 is an apocalyptic number.

448013479680 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 448013479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858095400960).

448013479680 is an abundant number, since it is smaller than the sum of its proper divisors (1268177322240).

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

448013479680 is a wasteful number, since it uses less digits than its factorization.

448013479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 448013479680 in words is "four hundred forty-eight billion, thirteen million, four hundred seventy-nine thousand, six hundred eighty".