448763768880 has 320 divisors, whose sum is σ = 1646140354560. Its totient is φ = 98952634368.

The previous prime is 448763768863. The next prime is 448763768963. The reversal of 448763768880 is 88867367844.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69325324 + ... + 69331796.

It is an arithmetic number, because the mean of its divisors is an integer number (5144188608).

Almost surely, 2^448763768880 is an apocalyptic number.

448763768880 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 448763768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823070177280).

448763768880 is an abundant number, since it is smaller than the sum of its proper divisors (1197376585680).

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

448763768880 is a wasteful number, since it uses less digits than its factorization.

448763768880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7948 (or 7942 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 69.

The spelling of 448763768880 in words is "four hundred forty-eight billion, seven hundred sixty-three million, seven hundred sixty-eight thousand, eight hundred eighty".