864781142872320 has 432 divisors, whose sum is σ = 3157625916244800. Its totient is φ = 217909381939200.

The previous prime is 864781142872319. The next prime is 864781142872403. The reversal of 864781142872320 is 23278241187468.

864781142872320 is a `hidden beast` number, since 8 + 6 + 4 + 7 + 8 + 114 + 287 + 232 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 80065995 + ... + 90222645.

Almost surely, 2^{864781142872320} is an apocalyptic number.

864781142872320 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 864781142872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578812958122400).

864781142872320 is an abundant number, since it is smaller than the sum of its proper divisors (2292844773372480).

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

864781142872320 is a wasteful number, since it uses less digits than its factorization.

864781142872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10157086 (or 10157069 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 864781142872320 in words is "eight hundred sixty-four trillion, seven hundred eighty-one billion, one hundred forty-two million, eight hundred seventy-two thousand, three hundred twenty".