6336172440 has 192 divisors, whose sum is σ = 23344120800. Its totient is φ = 1477564416.

The previous prime is 6336172433. The next prime is 6336172477. The reversal of 6336172440 is 442716336.

It is a happy number.

6336172440 is a `hidden beast` number, since 6 + 33 + 617 + 2 + 4 + 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 = 6336172395 and 6336172404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53292 + ... + 124548.

Almost surely, 2^6336172440 is an apocalyptic number.

6336172440 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 6336172440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11672060400).

6336172440 is an abundant number, since it is smaller than the sum of its proper divisors (17007948360).

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

6336172440 is a wasteful number, since it uses less digits than its factorization.

6336172440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71306 (or 71299 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6336172440 is about 79600.0781406652. The cubic root of 6336172440 is about 1850.4427905294.

Adding to 6336172440 its reverse (442716336), we get a palindrome (6778888776).

The spelling of 6336172440 in words is "six billion, three hundred thirty-six million, one hundred seventy-two thousand, four hundred forty".