6489281848320 has 880 divisors, whose sum is σ = 24107989973760. Its totient is φ = 1668042326016.

The previous prime is 6489281848319. The next prime is 6489281848327. The reversal of 6489281848320 is 238481829846.

6489281848320 is a `hidden beast` number, since 6 + 48 + 92 + 8 + 1 + 8 + 483 + 20 = 666.

It is a super-2 number, since 2×6489281848320² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6489281848327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1305950796 + ... + 1305955764.

It is an arithmetic number, because the mean of its divisors is an integer number (27395443152).

Almost surely, 2^{6489281848320} is an apocalyptic number.

6489281848320 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 6489281848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053994986880).

6489281848320 is an abundant number, since it is smaller than the sum of its proper divisors (17618708125440).

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

6489281848320 is a wasteful number, since it uses less digits than its factorization.

6489281848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 6489281848320 in words is "six trillion, four hundred eighty-nine billion, two hundred eighty-one million, eight hundred forty-eight thousand, three hundred twenty".