6411330720 has 432 divisors, whose sum is σ = 23363534376. Its totient is φ = 1599897600.

The previous prime is 6411330697. The next prime is 6411330749. The reversal of 6411330720 is 270331146.

6411330720 is a `hidden beast` number, since 641 + 13 + 3 + 0 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1468115856 + 4943214864 = 38316^2 + 70308^2 .

It is a super-2 number, since 2×6411330720² = 82210323202431436800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56737384 + ... + 56737496.

Almost surely, 2^6411330720 is an apocalyptic number.

6411330720 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 6411330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11681767188).

6411330720 is an abundant number, since it is smaller than the sum of its proper divisors (16952203656).

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

6411330720 is a wasteful number, since it uses less digits than its factorization.

6411330720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6411330720 is about 80070.7856836687. The cubic root of 6411330720 is about 1857.7305654632.

Adding to 6411330720 its reverse (270331146), we get a palindrome (6681661866).

The spelling of 6411330720 in words is "six billion, four hundred eleven million, three hundred thirty thousand, seven hundred twenty".