6168234240 has 432 divisors, whose sum is σ = 25302496128. Its totient is φ = 1409384448.

The previous prime is 6168234239. The next prime is 6168234263. The reversal of 6168234240 is 424328616.

6168234240 is a `hidden beast` number, since 616 + 8 + 2 + 34 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×6168234240² = 76094227279016755200, which contains 22 as substring.

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 = 6168234195 and 6168234204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2175864 + ... + 2178696.

Almost surely, 2^6168234240 is an apocalyptic number.

6168234240 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 6168234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12651248064).

6168234240 is an abundant number, since it is smaller than the sum of its proper divisors (19134261888).

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

6168234240 is an equidigital number, since it uses as much as digits as its factorization.

6168234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6168234240 is about 78538.1069290571. The cubic root of 6168234240 is about 1833.9477260540.

The spelling of 6168234240 in words is "six billion, one hundred sixty-eight million, two hundred thirty-four thousand, two hundred forty".