863760949067368 has 128 divisors (see below), whose sum is σ = 1845909816791040. Its totient is φ = 375364354176000.

The previous prime is 863760949067363. The next prime is 863760949067381.

It is a happy number.

863760949067368 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×863760949067368³ (a number of 46 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 863760949067291 and 863760949067300.

It is not an unprimeable number, because it can be changed into a prime (863760949067363) 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, 90073503 + ... + 99200593.

It is an arithmetic number, because the mean of its divisors is an integer number (14421170443680).

Almost surely, 2^{863760949067368} is an apocalyptic number.

863760949067368 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 863760949067368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922954908395520).

863760949067368 is an abundant number, since it is smaller than the sum of its proper divisors (982148867723672).

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

863760949067368 is a wasteful number, since it uses less digits than its factorization.

863760949067368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9127559 (or 9127555 counting only the distinct ones).

The product of its (nonzero) digits is 11851370496, while the sum is 82.

The spelling of 863760949067368 in words is "eight hundred sixty-three trillion, seven hundred sixty billion, nine hundred forty-nine million, sixty-seven thousand, three hundred sixty-eight".