6442003036644 has 384 divisors, whose sum is σ = 18333106176000. Its totient is φ = 1722393953280.

The previous prime is 6442003036631. The next prime is 6442003036757. The reversal of 6442003036644 is 4466303002446.

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

It is a junction number, because it is equal to n+sod(n) for n = 6442003036596 and 6442003036605.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2328152949 + ... + 2328155715.

It is an arithmetic number, because the mean of its divisors is an integer number (47742464000).

Almost surely, 2^{6442003036644} 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 6442003036644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9166553088000).

6442003036644 is an abundant number, since it is smaller than the sum of its proper divisors (11891103139356).

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

6442003036644 is a wasteful number, since it uses less digits than its factorization.

6442003036644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 42.

The spelling of 6442003036644 in words is "six trillion, four hundred forty-two billion, three million, thirty-six thousand, six hundred forty-four".