448701776640 has 576 divisors, whose sum is σ = 1738367057280. Its totient is φ = 108928696320.

The previous prime is 448701776609. The next prime is 448701776659. The reversal of 448701776640 is 46677107844.

448701776640 is a `hidden beast` number, since 448 + 70 + 1 + 7 + 76 + 64 + 0 = 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32790600 + ... + 32804280.

Almost surely, 2^448701776640 is an apocalyptic number.

448701776640 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 448701776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869183528640).

448701776640 is an abundant number, since it is smaller than the sum of its proper divisors (1289665280640).

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

448701776640 is a wasteful number, since it uses less digits than its factorization.

448701776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13797 (or 13777 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 448701776640 in words is "four hundred forty-eight billion, seven hundred one million, seven hundred seventy-six thousand, six hundred forty".