863667766368 has 288 divisors, whose sum is σ = 2840525356032. Its totient is φ = 246428697600.

The previous prime is 863667766361. The next prime is 863667766397.

863667766368 is a `hidden beast` number, since 86 + 3 + 66 + 77 + 66 + 368 = 666.

863667766368 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×863667766368² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 863667766296 and 863667766305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863667766361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3514855 + ... + 3752537.

It is an arithmetic number, because the mean of its divisors is an integer number (9862935264).

Almost surely, 2^863667766368 is an apocalyptic number.

863667766368 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 863667766368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420262678016).

863667766368 is an abundant number, since it is smaller than the sum of its proper divisors (1976857589664).

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

863667766368 is a wasteful number, since it uses less digits than its factorization.

863667766368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237778 (or 237767 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 863667766368 in words is "eight hundred sixty-three billion, six hundred sixty-seven million, seven hundred sixty-six thousand, three hundred sixty-eight".