868597024768 has 288 divisors, whose sum is σ = 1994030733240. Its totient is φ = 377605324800.

The previous prime is 868597024703. The next prime is 868597024793. The reversal of 868597024768 is 867420795868.

It can be written as a sum of positive squares in 4 ways, for example, as 510093067264 + 358503957504 = 714208^2 + 598752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 868597024697 and 868597024706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559301880 + ... + 559303432.

Almost surely, 2^868597024768 is an apocalyptic number.

868597024768 is a gapful number since it is divisible by the number (88) 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 868597024768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997015366620).

868597024768 is an abundant number, since it is smaller than the sum of its proper divisors (1125433708472).

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

868597024768 is a wasteful number, since it uses less digits than its factorization.

868597024768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 70.

The spelling of 868597024768 in words is "eight hundred sixty-eight billion, five hundred ninety-seven million, twenty-four thousand, seven hundred sixty-eight".