863793242208 has 384 divisors, whose sum is σ = 2749909478400. Its totient is φ = 262211198976.

The previous prime is 863793242131. The next prime is 863793242233. The reversal of 863793242208 is 802242397368.

863793242208 is a `hidden beast` number, since 8 + 6 + 379 + 3 + 242 + 20 + 8 = 666.

It is a super-2 number, since 2×863793242208² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260726760 + ... + 260730072.

It is an arithmetic number, because the mean of its divisors is an integer number (7161222600).

Almost surely, 2^863793242208 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 863793242208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374954739200).

863793242208 is an abundant number, since it is smaller than the sum of its proper divisors (1886116236192).

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

863793242208 is a wasteful number, since it uses less digits than its factorization.

863793242208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 863793242208 in words is "eight hundred sixty-three billion, seven hundred ninety-three million, two hundred forty-two thousand, two hundred eight".