6444712254960 has 1280 divisors, whose sum is σ = 28664708198400. Its totient is φ = 1295391522816.

The previous prime is 6444712254947. The next prime is 6444712254971. The reversal of 6444712254960 is 694522174446.

6444712254960 is a `hidden beast` number, since 6 + 4 + 4 + 4 + 71 + 22 + 549 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6444712254897 and 6444712254906.

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 255 ways as a sum of consecutive naturals, for example, 356505442 + ... + 356523518.

It is an arithmetic number, because the mean of its divisors is an integer number (22394303280).

Almost surely, 2^{6444712254960} is an apocalyptic number.

6444712254960 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 6444712254960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14332354099200).

6444712254960 is an abundant number, since it is smaller than the sum of its proper divisors (22219995943440).

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

6444712254960 is a wasteful number, since it uses less digits than its factorization.

6444712254960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18215 (or 18203 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 6444712254960 in words is "six trillion, four hundred forty-four billion, seven hundred twelve million, two hundred fifty-four thousand, nine hundred sixty".