864605696000 has 208 divisors, whose sum is σ = 2251640109888. Its totient is φ = 330801152000.

The previous prime is 864605695999. The next prime is 864605696083. The reversal of 864605696000 is 696506468.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 864605696000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11739290 + ... + 11812710.

It is an arithmetic number, because the mean of its divisors is an integer number (10825192836).

Almost surely, 2^864605696000 is an apocalyptic number.

864605696000 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 864605696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125820054944).

864605696000 is an abundant number, since it is smaller than the sum of its proper divisors (1387034413888).

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

864605696000 is an equidigital number, since it uses as much as digits as its factorization.

864605696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73483 (or 73451 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

The spelling of 864605696000 in words is "eight hundred sixty-four billion, six hundred five million, six hundred ninety-six thousand".