863835630768 has 120 divisors (see below), whose sum is σ = 2643895150416. Its totient is φ = 261115392000.

The previous prime is 863835630739. The next prime is 863835630797. The reversal of 863835630768 is 867036538368.

863835630768 is a `hidden beast` number, since 8 + 6 + 3 + 8 + 3 + 563 + 0 + 7 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (863835630739) and next prime (863835630797).

It is a super-3 number, since 3×863835630768³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 44805 + ... + 1315172.

Almost surely, 2^863835630768 is an apocalyptic number.

863835630768 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 863835630768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321947575208).

863835630768 is an abundant number, since it is smaller than the sum of its proper divisors (1780059519648).

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

863835630768 is a wasteful number, since it uses less digits than its factorization.

863835630768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360403 (or 1360394 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 863835630768 in words is "eight hundred sixty-three billion, eight hundred thirty-five million, six hundred thirty thousand, seven hundred sixty-eight".