867665566768 has 240 divisors, whose sum is σ = 2299838425920. Its totient is φ = 308535828480.

The previous prime is 867665566717. The next prime is 867665566769.

867665566768 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 867665566694 and 867665566703.

It is not an unprimeable number, because it can be changed into a prime (867665566769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15651996 + ... + 15707332.

It is an arithmetic number, because the mean of its divisors is an integer number (9582660108).

Almost surely, 2^867665566768 is an apocalyptic number.

867665566768 is a gapful number since it is divisible by the number (88) 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 867665566768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149919212960).

867665566768 is an abundant number, since it is smaller than the sum of its proper divisors (1432172859152).

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

867665566768 is a wasteful number, since it uses less digits than its factorization.

867665566768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55476 (or 55459 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 76.

The spelling of 867665566768 in words is "eight hundred sixty-seven billion, six hundred sixty-five million, five hundred sixty-six thousand, seven hundred sixty-eight".