6448287605760 has 3520 divisors, whose sum is σ = 31757832691200. Its totient is φ = 1232932700160.

The previous prime is 6448287605723. The next prime is 6448287605813. The reversal of 6448287605760 is 675067828446.

6448287605760 is a `hidden beast` number, since 6 + 4 + 482 + 87 + 6 + 0 + 5 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 20341601122 + ... + 20341601438.

It is an arithmetic number, because the mean of its divisors is an integer number (9022111560).

Almost surely, 2^{6448287605760} is an apocalyptic number.

6448287605760 is a gapful number since it is divisible by the number (60) 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 6448287605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878916345600).

6448287605760 is an abundant number, since it is smaller than the sum of its proper divisors (25309545085440).

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

6448287605760 is a wasteful number, since it uses less digits than its factorization.

6448287605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 6448287605760 in words is "six trillion, four hundred forty-eight billion, two hundred eighty-seven million, six hundred five thousand, seven hundred sixty".