6868319616 has 256 divisors, whose sum is σ = 21467980800. Its totient is φ = 2157281280.

The previous prime is 6868319587. The next prime is 6868319641. The reversal of 6868319616 is 6169138686.

6868319616 is a `hidden beast` number, since 6 + 8 + 6 + 8 + 3 + 19 + 616 = 666.

It is a super-3 number, since 3×6868319616³ (a number of 30 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5643040 + ... + 5644256.

It is an arithmetic number, because the mean of its divisors is an integer number (83859300).

Almost surely, 2^6868319616 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 6868319616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10733990400).

6868319616 is an abundant number, since it is smaller than the sum of its proper divisors (14599661184).

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

6868319616 is a wasteful number, since it uses less digits than its factorization.

6868319616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1316 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 6868319616 is about 82875.3257369164. The cubic root of 6868319616 is about 1900.8601475713.

The spelling of 6868319616 in words is "six billion, eight hundred sixty-eight million, three hundred nineteen thousand, six hundred sixteen".