869984365824 has 432 divisors, whose sum is σ = 2973343027200. Its totient is φ = 244478545920.

The previous prime is 869984365823. The next prime is 869984365829. The reversal of 869984365824 is 428563489968.

It is a happy number.

869984365824 is a `hidden beast` number, since 8 + 6 + 9 + 9 + 8 + 4 + 36 + 582 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869984365823) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 48197569 + ... + 48215615.

Almost surely, 2^869984365824 is an apocalyptic number.

869984365824 is a gapful number since it is divisible by the number (84) 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 869984365824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486671513600).

869984365824 is an abundant number, since it is smaller than the sum of its proper divisors (2103358661376).

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

869984365824 is a wasteful number, since it uses less digits than its factorization.

869984365824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18151 (or 18120 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 869984365824 in words is "eight hundred sixty-nine billion, nine hundred eighty-four million, three hundred sixty-five thousand, eight hundred twenty-four".