6413275440 has 560 divisors, whose sum is σ = 26298629280. Its totient is φ = 1433272320.

The previous prime is 6413275423. The next prime is 6413275469. The reversal of 6413275440 is 445723146.

6413275440 is a `hidden beast` number, since 641 + 3 + 2 + 7 + 5 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×6413275440² = 82260203738614387200, which contains 22 as substring.

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 = 6413275395 and 6413275404.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8339376 + ... + 8340144.

It is an arithmetic number, because the mean of its divisors is an integer number (46961838).

Almost surely, 2^6413275440 is an apocalyptic number.

6413275440 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 6413275440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13149314640).

6413275440 is an abundant number, since it is smaller than the sum of its proper divisors (19885353840).

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

6413275440 is a wasteful number, since it uses less digits than its factorization.

6413275440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6413275440 is about 80082.9285178808. The cubic root of 6413275440 is about 1857.9183788165.

Adding to 6413275440 its reverse (445723146), we get a palindrome (6858998586).

The spelling of 6413275440 in words is "six billion, four hundred thirteen million, two hundred seventy-five thousand, four hundred forty".