864736504128 has 672 divisors, whose sum is σ = 3105948478464. Its totient is φ = 224407977984.

The previous prime is 864736504069. The next prime is 864736504183. The reversal of 864736504128 is 821405637468.

It is a happy number.

864736504128 is a `hidden beast` number, since 8 + 6 + 4 + 7 + 3 + 6 + 504 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×864736504128² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235172626 + ... + 235176302.

Almost surely, 2^864736504128 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 864736504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552974239232).

864736504128 is an abundant number, since it is smaller than the sum of its proper divisors (2241211974336).

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

864736504128 is a wasteful number, since it uses less digits than its factorization.

864736504128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 864736504128 in words is "eight hundred sixty-four billion, seven hundred thirty-six million, five hundred four thousand, one hundred twenty-eight".