6445434385728 has 896 divisors, whose sum is σ = 21575509401600. Its totient is φ = 1873388445696.

The previous prime is 6445434385727. The next prime is 6445434385729. The reversal of 6445434385728 is 8275834345446.

6445434385728 is a `hidden beast` number, since 6 + 4 + 4 + 54 + 3 + 4 + 3 + 8 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6445434385727) and next prime (6445434385729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6445434385723) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5430019951 + ... + 5430021137.

It is an arithmetic number, because the mean of its divisors is an integer number (24079809600).

Almost surely, 2^{6445434385728} 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 6445434385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10787754700800).

6445434385728 is an abundant number, since it is smaller than the sum of its proper divisors (15130075015872).

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

6445434385728 is a wasteful number, since it uses less digits than its factorization.

6445434385728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1428 counting only the distinct ones).

The product of its digits is 309657600, while the sum is 63.

The spelling of 6445434385728 in words is "six trillion, four hundred forty-five billion, four hundred thirty-four million, three hundred eighty-five thousand, seven hundred twenty-eight".