6446576790720 has 448 divisors, whose sum is σ = 24827320627200. Its totient is φ = 1561687326720.

The previous prime is 6446576790691. The next prime is 6446576790751. The reversal of 6446576790720 is 270976756446.

It is a happy number.

6446576790720 is a `hidden beast` number, since 6 + 4 + 465 + 7 + 67 + 90 + 7 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136738992 + ... + 136786128.

It is an arithmetic number, because the mean of its divisors is an integer number (55418126400).

Almost surely, 2^{6446576790720} is an apocalyptic number.

6446576790720 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 6446576790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12413660313600).

6446576790720 is an abundant number, since it is smaller than the sum of its proper divisors (18380743836480).

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

6446576790720 is a wasteful number, since it uses less digits than its factorization.

6446576790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48613 (or 48597 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 6446576790720 in words is "six trillion, four hundred forty-six billion, five hundred seventy-six million, seven hundred ninety thousand, seven hundred twenty".