867659383956768 has 192 divisors, whose sum is σ = 2477176590551040. Its totient is φ = 264324660461568.

The previous prime is 867659383956767. The next prime is 867659383956773.

867659383956768 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (96).

It is not an unprimeable number, because it can be changed into a prime (867659383956767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127699905 + ... + 134322687.

It is an arithmetic number, because the mean of its divisors is an integer number (12901961409120).

Almost surely, 2^{867659383956768} 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 867659383956768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238588295275520).

867659383956768 is an abundant number, since it is smaller than the sum of its proper divisors (1609517206594272).

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

867659383956768 is a wasteful number, since it uses less digits than its factorization.

867659383956768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623851 (or 6623843 counting only the distinct ones).

The product of its digits is 592568524800, while the sum is 96.

The spelling of 867659383956768 in words is "eight hundred sixty-seven trillion, six hundred fifty-nine billion, three hundred eighty-three million, nine hundred fifty-six thousand, seven hundred sixty-eight".