6332682240 has 624 divisors, whose sum is σ = 24288346368. Its totient is φ = 1519386624.

The previous prime is 6332682233. The next prime is 6332682241. The reversal of 6332682240 is 422862336.

6332682240 is a `hidden beast` number, since 6 + 332 + 6 + 82 + 240 = 666.

It is a super-2 number, since 2×6332682240² = 80205728705622835200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 6332682195 and 6332682204.

It is not an unprimeable number, because it can be changed into a prime (6332682241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134737897 + ... + 134737943.

It is an arithmetic number, because the mean of its divisors is an integer number (38923632).

Almost surely, 2^6332682240 is an apocalyptic number.

6332682240 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 6332682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12144173184).

6332682240 is an abundant number, since it is smaller than the sum of its proper divisors (17955664128).

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

6332682240 is a wasteful number, since it uses less digits than its factorization.

6332682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6332682240 is about 79578.1517754716. The cubic root of 6332682240 is about 1850.1029638335.

The spelling of 6332682240 in words is "six billion, three hundred thirty-two million, six hundred eighty-two thousand, two hundred forty".