6859247616 has 312 divisors, whose sum is σ = 22064588160. Its totient is φ = 2104786944.

The previous prime is 6859247587. The next prime is 6859247683. The reversal of 6859247616 is 6167429586.

6859247616 is a `hidden beast` number, since 6 + 8 + 592 + 47 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18689865 + ... + 18690231.

Almost surely, 2^6859247616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6859247616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11032294080).

6859247616 is an abundant number, since it is smaller than the sum of its proper divisors (15205340544).

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

6859247616 is a wasteful number, since it uses less digits than its factorization.

6859247616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 385 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 6859247616 is about 82820.5748350010. The cubic root of 6859247616 is about 1900.0228636215.

The spelling of 6859247616 in words is "six billion, eight hundred fifty-nine million, two hundred forty-seven thousand, six hundred sixteen".