6444666408960 has 832 divisors, whose sum is σ = 25044141077760. Its totient is φ = 1562585333760.

The previous prime is 6444666408923. The next prime is 6444666408997. The reversal of 6444666408960 is 698046664446.

It is an interprime number because it is at equal distance from previous prime (6444666408923) and next prime (6444666408997).

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

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, 481621470 + ... + 481634850.

Almost surely, 2^{6444666408960} is an apocalyptic number.

6444666408960 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 6444666408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12522070538880).

6444666408960 is an abundant number, since it is smaller than the sum of its proper divisors (18599474668800).

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

6444666408960 is a wasteful number, since it uses less digits than its factorization.

6444666408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13499 (or 13471 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 6444666408960 in words is "six trillion, four hundred forty-four billion, six hundred sixty-six million, four hundred eight thousand, nine hundred sixty".