868027064784768 has 1024 divisors, whose sum is σ = 3174264806400000. Its totient is φ = 232758209746944.

The previous prime is 868027064784731. The next prime is 868027064784797. The reversal of 868027064784768 is 867487460720868.

868027064784768 is a `hidden beast` number, since 8 + 6 + 8 + 0 + 2 + 70 + 6 + 4 + 78 + 476 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2409754371 + ... + 2410114557.

It is an arithmetic number, because the mean of its divisors is an integer number (3099867975000).

Almost surely, 2^{868027064784768} 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 868027064784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587132403200000).

868027064784768 is an abundant number, since it is smaller than the sum of its proper divisors (2306237741615232).

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

868027064784768 is a wasteful number, since it uses less digits than its factorization.

868027064784768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360357 (or 360325 counting only the distinct ones).

The product of its (nonzero) digits is 9710862336, while the sum is 81.

The spelling of 868027064784768 in words is "eight hundred sixty-eight trillion, twenty-seven billion, sixty-four million, seven hundred eighty-four thousand, seven hundred sixty-eight".