6375444768 has 384 divisors, whose sum is σ = 23578490880. Its totient is φ = 1627776000.

The previous prime is 6375444749. The next prime is 6375444769. The reversal of 6375444768 is 8674445736.

6375444768 is a `hidden beast` number, since 6 + 37 + 544 + 4 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6375444769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4057423 + ... + 4058993.

It is an arithmetic number, because the mean of its divisors is an integer number (61402320).

Almost surely, 2^6375444768 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 6375444768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11789245440).

6375444768 is an abundant number, since it is smaller than the sum of its proper divisors (17203046112).

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

6375444768 is a wasteful number, since it uses less digits than its factorization.

6375444768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1655 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The square root of 6375444768 is about 79846.3823100333. The cubic root of 6375444768 is about 1854.2580049608.

The spelling of 6375444768 in words is "six billion, three hundred seventy-five million, four hundred forty-four thousand, seven hundred sixty-eight".