864768828867468 has 96 divisors (see below), whose sum is σ = 2330077285046784. Its totient is φ = 244503032813568.

The previous prime is 864768828867451. The next prime is 864768828867499.

864768828867468 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×864768828867468² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69219846 + ... + 80752242.

It is an arithmetic number, because the mean of its divisors is an integer number (24271638385904).

Almost surely, 2^{864768828867468} 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 864768828867468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165038642523392).

864768828867468 is an abundant number, since it is smaller than the sum of its proper divisors (1465308456179316).

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

864768828867468 is a wasteful number, since it uses less digits than its factorization.

864768828867468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11541711 (or 11541709 counting only the distinct ones).

The product of its digits is 532710162432, while the sum is 96.

The spelling of 864768828867468 in words is "eight hundred sixty-four trillion, seven hundred sixty-eight billion, eight hundred twenty-eight million, eight hundred sixty-seven thousand, four hundred sixty-eight".