6328393344 has 768 divisors, whose sum is σ = 24540122880. Its totient is φ = 1518206976.

The previous prime is 6328393339. The next prime is 6328393367. The reversal of 6328393344 is 4433938236.

6328393344 is a `hidden beast` number, since 632 + 8 + 3 + 9 + 3 + 3 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1119744) is a multiple of the sum of its prime divisors (162).

It is a self number, because there is not a number n which added to its sum of digits gives 6328393344.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94453599 + ... + 94453665.

It is an arithmetic number, because the mean of its divisors is an integer number (31953285).

Almost surely, 2^6328393344 is an apocalyptic number.

6328393344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6328393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12270061440).

6328393344 is an abundant number, since it is smaller than the sum of its proper divisors (18211729536).

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

6328393344 is a wasteful number, since it uses less digits than its factorization.

6328393344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 6328393344 is about 79551.1995132694. The cubic root of 6328393344 is about 1849.6852002954.

The spelling of 6328393344 in words is "six billion, three hundred twenty-eight million, three hundred ninety-three thousand, three hundred forty-four".