868315868640 has 288 divisors, whose sum is σ = 3233766436992. Its totient is φ = 210418560000.

The previous prime is 868315868639. The next prime is 868315868669. The reversal of 868315868640 is 46868513868.

868315868640 is a `hidden beast` number, since 8 + 6 + 8 + 3 + 1 + 586 + 8 + 6 + 40 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 47051415 + ... + 47069865.

It is an arithmetic number, because the mean of its divisors is an integer number (11228355684).

Almost surely, 2^868315868640 is an apocalyptic number.

868315868640 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 868315868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616883218496).

868315868640 is an abundant number, since it is smaller than the sum of its proper divisors (2365450568352).

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

868315868640 is a wasteful number, since it uses less digits than its factorization.

868315868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21454 (or 21443 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 868315868640 in words is "eight hundred sixty-eight billion, three hundred fifteen million, eight hundred sixty-eight thousand, six hundred forty".