864391381728 has 192 divisors, whose sum is σ = 2614843607040. Its totient is φ = 244909043712.

The previous prime is 864391381717. The next prime is 864391381753. The reversal of 864391381728 is 827183193468.

It is a congruent number.

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, 98412025 + ... + 98420807.

It is an arithmetic number, because the mean of its divisors is an integer number (13618977120).

Almost surely, 2^864391381728 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 864391381728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307421803520).

864391381728 is an abundant number, since it is smaller than the sum of its proper divisors (1750452225312).

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

864391381728 is a wasteful number, since it uses less digits than its factorization.

864391381728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10009 (or 10001 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The spelling of 864391381728 in words is "eight hundred sixty-four billion, three hundred ninety-one million, three hundred eighty-one thousand, seven hundred twenty-eight".