6331366440 has 576 divisors, whose sum is σ = 25986692160. Its totient is φ = 1327656960.

The previous prime is 6331366439. The next prime is 6331366453. The reversal of 6331366440 is 446631336.

6331366440 is a `hidden beast` number, since 6 + 3 + 3 + 1 + 3 + 6 + 644 + 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 = 6331366395 and 6331366404.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12894595 + ... + 12895085.

It is an arithmetic number, because the mean of its divisors is an integer number (45115785).

Almost surely, 2^6331366440 is an apocalyptic number.

6331366440 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 6331366440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12993346080).

6331366440 is an abundant number, since it is smaller than the sum of its proper divisors (19655325720).

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

6331366440 is a wasteful number, since it uses less digits than its factorization.

6331366440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 6331366440 is about 79569.8840014236. The cubic root of 6331366440 is about 1849.9748172856.

Adding to 6331366440 its reverse (446631336), we get a palindrome (6777997776).

The spelling of 6331366440 in words is "six billion, three hundred thirty-one million, three hundred sixty-six thousand, four hundred forty".