6866375616 has 224 divisors, whose sum is σ = 21898416960. Its totient is φ = 2101248000.

The previous prime is 6866375609. The next prime is 6866375627. The reversal of 6866375616 is 6165736686.

It is a super-2 number, since 2×6866375616² = 94294228199998758912, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1201566 + ... + 1207266.

It is an arithmetic number, because the mean of its divisors is an integer number (97760790).

Almost surely, 2^6866375616 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 6866375616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949208480).

6866375616 is an abundant number, since it is smaller than the sum of its proper divisors (15032041344).

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

6866375616 is a wasteful number, since it uses less digits than its factorization.

6866375616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5764 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 6866375616 is about 82863.5964462079. The cubic root of 6866375616 is about 1900.6807916772.

The spelling of 6866375616 in words is "six billion, eight hundred sixty-six million, three hundred seventy-five thousand, six hundred sixteen".