6444006642024 has 64 divisors (see below), whose sum is σ = 18412732416000. Its totient is φ = 1841016268224.

The previous prime is 6444006642013. The next prime is 6444006642037. The reversal of 6444006642024 is 4202466004446.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089177 + ... + 3751575.

It is an arithmetic number, because the mean of its divisors is an integer number (287698944000).

Almost surely, 2^{6444006642024} is an apocalyptic number.

It is an amenable number.

6444006642024 is an abundant number, since it is smaller than the sum of its proper divisors (11968725773976).

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

6444006642024 is a wasteful number, since it uses less digits than its factorization.

6444006642024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676822 (or 2676818 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 6444006642024 in words is "six trillion, four hundred forty-four billion, six million, six hundred forty-two thousand, twenty-four".