864624011378688 has 1764 divisors, whose sum is σ = 2949878399945904. Its totient is φ = 251185751654400.

The previous prime is 864624011378669. The next prime is 864624011378737. The reversal of 864624011378688 is 886873110426468.

864624011378688 is a `hidden beast` number, since 8 + 6 + 4 + 6 + 2 + 401 + 137 + 8 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 83 ways as a sum of consecutive naturals, for example, 8080598237131 + ... + 8080598237237.

It is an arithmetic number, because the mean of its divisors is an integer number (1672266666636).

Almost surely, 2^{864624011378688} is an apocalyptic number.

864624011378688 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 864624011378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474939199972952).

864624011378688 is an abundant number, since it is smaller than the sum of its proper divisors (2085254388567216).

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

864624011378688 is an frugal number, since it uses more digits than its factorization.

864624011378688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 864624011378688 in words is "eight hundred sixty-four trillion, six hundred twenty-four billion, eleven million, three hundred seventy-eight thousand, six hundred eighty-eight".