6336461040 has 320 divisors, whose sum is σ = 24694419456. Its totient is φ = 1308266496.

The previous prime is 6336461003. The next prime is 6336461041. The reversal of 6336461040 is 401646336.

It is a super-2 number, since 2×6336461040² = 80301477022875763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6336460992 and 6336461010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6336461041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1023394 + ... + 1029566.

Almost surely, 2^6336461040 is an apocalyptic number.

6336461040 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 6336461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12347209728).

6336461040 is an abundant number, since it is smaller than the sum of its proper divisors (18357958416).

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

6336461040 is a wasteful number, since it uses less digits than its factorization.

6336461040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 6336461040 is about 79601.8909323139. The cubic root of 6336461040 is about 1850.4708847607.

The spelling of 6336461040 in words is "six billion, three hundred thirty-six million, four hundred sixty-one thousand, forty".