868043848320 has 640 divisors, whose sum is σ = 3460497353280. Its totient is φ = 205535232000.

The previous prime is 868043848319. The next prime is 868043848349. The reversal of 868043848320 is 23848340868.

868043848320 is a `hidden beast` number, since 86 + 80 + 4 + 3 + 8 + 483 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24502620 + ... + 24538020.

Almost surely, 2^868043848320 is an apocalyptic number.

868043848320 is a gapful number since it is divisible by the number (80) 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 868043848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730248676640).

868043848320 is an abundant number, since it is smaller than the sum of its proper divisors (2592453504960).

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

868043848320 is a wasteful number, since it uses less digits than its factorization.

868043848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35486 (or 35465 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 868043848320 in words is "eight hundred sixty-eight billion, forty-three million, eight hundred forty-eight thousand, three hundred twenty".