448925768640 has 560 divisors, whose sum is σ = 1685260779840. Its totient is φ = 113208606720.

The previous prime is 448925768633. The next prime is 448925768657. The reversal of 448925768640 is 46867529844.

448925768640 is a `hidden beast` number, since 4 + 489 + 2 + 5 + 76 + 86 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53054010 + ... + 53062470.

Almost surely, 2^448925768640 is an apocalyptic number.

448925768640 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 448925768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842630389920).

448925768640 is an abundant number, since it is smaller than the sum of its proper divisors (1236335011200).

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

448925768640 is a wasteful number, since it uses less digits than its factorization.

448925768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 448925768640 in words is "four hundred forty-eight billion, nine hundred twenty-five million, seven hundred sixty-eight thousand, six hundred forty".