6448802017280 has 832 divisors, whose sum is σ = 18718671863808. Its totient is φ = 2086844497920.

The previous prime is 6448802017249. The next prime is 6448802017283. The reversal of 6448802017280 is 827102088446.

It is not an unprimeable number, because it can be changed into a prime (6448802017283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39563202479 + ... + 39563202641.

Almost surely, 2^{6448802017280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6448802017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359335931904).

6448802017280 is an abundant number, since it is smaller than the sum of its proper divisors (12269869846528).

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

6448802017280 is a wasteful number, since it uses less digits than its factorization.

6448802017280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 50.

The spelling of 6448802017280 in words is "six trillion, four hundred forty-eight billion, eight hundred two million, seventeen thousand, two hundred eighty".