6428383873824 has 576 divisors, whose sum is σ = 19781702478720. Its totient is φ = 1812314849280.

The previous prime is 6428383873823. The next prime is 6428383873829. The reversal of 6428383873824 is 4283783838246.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (6428383873823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16525408222 + ... + 16525408610.

It is an arithmetic number, because the mean of its divisors is an integer number (34343233470).

Almost surely, 2^{6428383873824} 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 6428383873824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890851239360).

6428383873824 is an abundant number, since it is smaller than the sum of its proper divisors (13353318604896).

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

6428383873824 is a wasteful number, since it uses less digits than its factorization.

6428383873824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 908 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 66.

The spelling of 6428383873824 in words is "six trillion, four hundred twenty-eight billion, three hundred eighty-three million, eight hundred seventy-three thousand, eight hundred twenty-four".