6336441540 has 384 divisors, whose sum is σ = 23915888640. Its totient is φ = 1371686400.

The previous prime is 6336441521. The next prime is 6336441547. The reversal of 6336441540 is 451446336.

6336441540 is a `hidden beast` number, since 6 + 3 + 3 + 644 + 1 + 5 + 4 + 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 = 6336441495 and 6336441504.

It is not an unprimeable number, because it can be changed into a prime (6336441547) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2392497 + ... + 2395143.

It is an arithmetic number, because the mean of its divisors is an integer number (62280960).

Almost surely, 2^6336441540 is an apocalyptic number.

6336441540 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 6336441540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11957944320).

6336441540 is an abundant number, since it is smaller than the sum of its proper divisors (17579447100).

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

6336441540 is a wasteful number, since it uses less digits than its factorization.

6336441540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6336441540 is about 79601.7684476922. The cubic root of 6336441540 is about 1850.4689865287.

Adding to 6336441540 its reverse (451446336), we get a palindrome (6787887876).

The spelling of 6336441540 in words is "six billion, three hundred thirty-six million, four hundred forty-one thousand, five hundred forty".