6323466240 has 936 divisors, whose sum is σ = 28060400160. Its totient is φ = 1288175616.

The previous prime is 6323466229. The next prime is 6323466293. The reversal of 6323466240 is 426643236.

6323466240 is a `hidden beast` number, since 6 + 3 + 23 + 4 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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 = 6323466195 and 6323466204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218050546 + ... + 218050574.

It is an arithmetic number, because the mean of its divisors is an integer number (29979060).

Almost surely, 2^6323466240 is an apocalyptic number.

6323466240 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 6323466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030200080).

6323466240 is an abundant number, since it is smaller than the sum of its proper divisors (21736933920).

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

6323466240 is a wasteful number, since it uses less digits than its factorization.

6323466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 6323466240 is about 79520.2253517934. The cubic root of 6323466240 is about 1849.2050385297.

The spelling of 6323466240 in words is "six billion, three hundred twenty-three million, four hundred sixty-six thousand, two hundred forty".