6446107422720 has 2496 divisors, whose sum is σ = 28137190588416. Its totient is φ = 1384541061120.

The previous prime is 6446107422641. The next prime is 6446107422731. The reversal of 6446107422720 is 272247016446.

6446107422720 is a `hidden beast` number, since 6 + 4 + 4 + 610 + 7 + 4 + 2 + 2 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50756751297 + ... + 50756751423.

It is an arithmetic number, because the mean of its divisors is an integer number (11272912896).

Almost surely, 2^{6446107422720} is an apocalyptic number.

6446107422720 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 6446107422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14068595294208).

6446107422720 is an abundant number, since it is smaller than the sum of its proper divisors (21691083165696).

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

6446107422720 is a wasteful number, since it uses less digits than its factorization.

6446107422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 6446107422720 in words is "six trillion, four hundred forty-six billion, one hundred seven million, four hundred twenty-two thousand, seven hundred twenty".