867695596768 has 288 divisors, whose sum is σ = 2310486861312. Its totient is φ = 311482828800.

The previous prime is 867695596759. The next prime is 867695596843.

867695596768 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 867695596691 and 867695596700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271918053 + ... + 271921243.

It is an arithmetic number, because the mean of its divisors is an integer number (8022523824).

Almost surely, 2^867695596768 is an apocalyptic number.

867695596768 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 867695596768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155243430656).

867695596768 is an abundant number, since it is smaller than the sum of its proper divisors (1442791264544).

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

867695596768 is a wasteful number, since it uses less digits than its factorization.

867695596768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3877 counting only the distinct ones).

The product of its digits is 8230118400, while the sum is 82.

The spelling of 867695596768 in words is "eight hundred sixty-seven billion, six hundred ninety-five million, five hundred ninety-six thousand, seven hundred sixty-eight".