448879747680 has 1728 divisors, whose sum is σ = 2081623864320. Its totient is φ = 88934547456.

The previous prime is 448879747669. The next prime is 448879747721. The reversal of 448879747680 is 86747978844.

448879747680 is a `hidden beast` number, since 4 + 4 + 8 + 8 + 79 + 7 + 476 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 448879747599 and 448879747608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1022504901 + ... + 1022505339.

It is an arithmetic number, because the mean of its divisors is an integer number (1204643440).

Almost surely, 2^448879747680 is an apocalyptic number.

448879747680 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 448879747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040811932160).

448879747680 is an abundant number, since it is smaller than the sum of its proper divisors (1632744116640).

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

448879747680 is a wasteful number, since it uses less digits than its factorization.

448879747680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 448879747680 in words is "four hundred forty-eight billion, eight hundred seventy-nine million, seven hundred forty-seven thousand, six hundred eighty".