6328440144 has 80 divisors (see below), whose sum is σ = 19562289600. Its totient is φ = 1947210624.

The previous prime is 6328440137. The next prime is 6328440149. The reversal of 6328440144 is 4410448236.

6328440144 is a `hidden beast` number, since 632 + 8 + 4 + 4 + 0 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6328440099 and 6328440108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6328440149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557814 + ... + 569045.

It is an arithmetic number, because the mean of its divisors is an integer number (244528620).

Almost surely, 2^6328440144 is an apocalyptic number.

It is an amenable number.

6328440144 is an abundant number, since it is smaller than the sum of its proper divisors (13233849456).

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

6328440144 is a wasteful number, since it uses less digits than its factorization.

6328440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126889 (or 1126877 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 6328440144 is about 79551.4936629099. The cubic root of 6328440144 is about 1849.6897599073.

The spelling of 6328440144 in words is "six billion, three hundred twenty-eight million, four hundred forty thousand, one hundred forty-four".