6346449478880 has 576 divisors, whose sum is σ = 17989413120000. Its totient is φ = 2114771033088.

The previous prime is 6346449478781. The next prime is 6346449478927. The reversal of 6346449478880 is 888749446436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26554181801 + ... + 26554182039.

It is an arithmetic number, because the mean of its divisors is an integer number (31231620000).

Almost surely, 2^{6346449478880} 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 6346449478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994706560000).

6346449478880 is an abundant number, since it is smaller than the sum of its proper divisors (11642963641120).

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

6346449478880 is a wasteful number, since it uses less digits than its factorization.

6346449478880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 71.

The spelling of 6346449478880 in words is "six trillion, three hundred forty-six billion, four hundred forty-nine million, four hundred seventy-eight thousand, eight hundred eighty".