6324373440 has 1008 divisors, whose sum is σ = 28985748480. Its totient is φ = 1229230080.

The previous prime is 6324373423. The next prime is 6324373441. The reversal of 6324373440 is 443734236.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 6324373395 and 6324373404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6324373441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80055321 + ... + 80055399.

Almost surely, 2^6324373440 is an apocalyptic number.

6324373440 is a gapful number since it is divisible by the number (60) 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 6324373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492874240).

6324373440 is an abundant number, since it is smaller than the sum of its proper divisors (22661375040).

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

6324373440 is a wasteful number, since it uses less digits than its factorization.

6324373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The square root of 6324373440 is about 79525.9293564055. The cubic root of 6324373440 is about 1849.2934667497.

The spelling of 6324373440 in words is "six billion, three hundred twenty-four million, three hundred seventy-three thousand, four hundred forty".