868326600960 has 864 divisors, whose sum is σ = 3860254903680. Its totient is φ = 183202725888.

The previous prime is 868326600949. The next prime is 868326601057. The reversal of 868326600960 is 69006623868.

868326600960 is a `hidden beast` number, since 8 + 6 + 8 + 3 + 26 + 600 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 868326600897 and 868326600906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21994999 + ... + 22034441.

It is an arithmetic number, because the mean of its divisors is an integer number (4467887620).

Almost surely, 2^868326600960 is an apocalyptic number.

868326600960 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 868326600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930127451840).

868326600960 is an abundant number, since it is smaller than the sum of its proper divisors (2991928302720).

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

868326600960 is a wasteful number, since it uses less digits than its factorization.

868326600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39500 (or 39473 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 868326600960 in words is "eight hundred sixty-eight billion, three hundred twenty-six million, six hundred thousand, nine hundred sixty".