6511416840 has 384 divisors, whose sum is σ = 23606069760. Its totient is φ = 1548214272.

The previous prime is 6511416833. The next prime is 6511416851. The reversal of 6511416840 is 486141156.

6511416840 is a `hidden beast` number, since 6 + 511 + 41 + 68 + 40 = 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 = 6511416795 and 6511416804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23506782 + ... + 23507058.

It is an arithmetic number, because the mean of its divisors is an integer number (61474140).

Almost surely, 2^6511416840 is an apocalyptic number.

6511416840 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 6511416840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11803034880).

6511416840 is an abundant number, since it is smaller than the sum of its proper divisors (17094652920).

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

6511416840 is a wasteful number, since it uses less digits than its factorization.

6511416840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6511416840 is about 80693.3506554289. The cubic root of 6511416840 is about 1867.3475927085.

Adding to 6511416840 its reverse (486141156), we get a palindrome (6997557996).

The spelling of 6511416840 in words is "six billion, five hundred eleven million, four hundred sixteen thousand, eight hundred forty".