6516854784 has 312 divisors, whose sum is σ = 21265146560. Its totient is φ = 1970749440.

The previous prime is 6516854761. The next prime is 6516854789. The reversal of 6516854784 is 4874586156.

6516854784 is a `hidden beast` number, since 6 + 5 + 16 + 8 + 547 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6516854784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6516854789) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13381389 + ... + 13381875.

Almost surely, 2^6516854784 is an apocalyptic number.

6516854784 is a gapful number since it is divisible by the number (64) 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 6516854784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10632573280).

6516854784 is an abundant number, since it is smaller than the sum of its proper divisors (14748291776).

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

6516854784 is a wasteful number, since it uses less digits than its factorization.

6516854784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 503 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 6516854784 is about 80727.0387416756. The cubic root of 6516854784 is about 1867.8672802245.

The spelling of 6516854784 in words is "six billion, five hundred sixteen million, eight hundred fifty-four thousand, seven hundred eighty-four".