6480441613056 has 288 divisors, whose sum is σ = 17903163801600. Its totient is φ = 2079663738880.

The previous prime is 6480441613021. The next prime is 6480441613067. The reversal of 6480441613056 is 6503161440846.

It is a super-2 number, since 2×6480441613056² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6480441612996 and 6480441613014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1227586225 + ... + 1227591503.

It is an arithmetic number, because the mean of its divisors is an integer number (62163763200).

Almost surely, 2^{6480441613056} 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 6480441613056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951581900800).

6480441613056 is an abundant number, since it is smaller than the sum of its proper divisors (11422722188544).

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

6480441613056 is a wasteful number, since it uses less digits than its factorization.

6480441613056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 6480441613056 in words is "six trillion, four hundred eighty billion, four hundred forty-one million, six hundred thirteen thousand, fifty-six".