864500009424 has 160 divisors (see below), whose sum is σ = 2359313280000. Its totient is φ = 272017170432.

The previous prime is 864500009363. The next prime is 864500009489. The reversal of 864500009424 is 424900005468.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592528407 + ... + 592529865.

It is an arithmetic number, because the mean of its divisors is an integer number (14745708000).

Almost surely, 2^864500009424 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 864500009424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179656640000).

864500009424 is an abundant number, since it is smaller than the sum of its proper divisors (1494813270576).

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

864500009424 is a wasteful number, since it uses less digits than its factorization.

864500009424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 864500009424 in words is "eight hundred sixty-four billion, five hundred million, nine thousand, four hundred twenty-four".