6243834240 has 512 divisors, whose sum is σ = 25909632000. Its totient is φ = 1391247360.

The previous prime is 6243834227. The next prime is 6243834263. The reversal of 6243834240 is 424383426.

6243834240 is a `hidden beast` number, since 624 + 3 + 8 + 3 + 4 + 24 + 0 = 666.

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 = 6243834195 and 6243834204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4958731 + ... + 4959989.

It is an arithmetic number, because the mean of its divisors is an integer number (50604750).

Almost surely, 2^6243834240 is an apocalyptic number.

6243834240 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 6243834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954816000).

6243834240 is an abundant number, since it is smaller than the sum of its proper divisors (19665797760).

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

6243834240 is a wasteful number, since it uses less digits than its factorization.

6243834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 6243834240 is about 79017.9361917280. The cubic root of 6243834240 is about 1841.4098205811.

The spelling of 6243834240 in words is "six billion, two hundred forty-three million, eight hundred thirty-four thousand, two hundred forty".