868438287360 has 1056 divisors, whose sum is σ = 3581218967040. Its totient is φ = 190385750016.

The previous prime is 868438287347. The next prime is 868438287371. The reversal of 868438287360 is 63782834868.

868438287360 is a `hidden beast` number, since 8 + 68 + 438 + 2 + 87 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2460164944 + ... + 2460165296.

It is an arithmetic number, because the mean of its divisors is an integer number (3391305840).

Almost surely, 2^868438287360 is an apocalyptic number.

868438287360 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 868438287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790609483520).

868438287360 is an abundant number, since it is smaller than the sum of its proper divisors (2712780679680).

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

868438287360 is a wasteful number, since it uses less digits than its factorization.

868438287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 868438287360 in words is "eight hundred sixty-eight billion, four hundred thirty-eight million, two hundred eighty-seven thousand, three hundred sixty".