6323029440 has 224 divisors, whose sum is σ = 24708794880. Its totient is φ = 1334071296.

The previous prime is 6323029403. The next prime is 6323029459. The reversal of 6323029440 is 449203236.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51171 + ... + 123549.

It is an arithmetic number, because the mean of its divisors is an integer number (110307120).

Almost surely, 2^6323029440 is an apocalyptic number.

6323029440 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 6323029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12354397440).

6323029440 is an abundant number, since it is smaller than the sum of its proper divisors (18385765440).

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

6323029440 is a wasteful number, since it uses less digits than its factorization.

6323029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72419 (or 72409 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 6323029440 is about 79517.4788332729. The cubic root of 6323029440 is about 1849.1624589629.

The spelling of 6323029440 in words is "six billion, three hundred twenty-three million, twenty-nine thousand, four hundred forty".