873509966784 has 2240 divisors, whose sum is σ = 3568881254400. Its totient is φ = 209227898880.

The previous prime is 873509966779. The next prime is 873509966789. The reversal of 873509966784 is 487669905378.

It is an interprime number because it is at equal distance from previous prime (873509966779) and next prime (873509966789).

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 (873509966789) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16481320102 + ... + 16481320154.

It is an arithmetic number, because the mean of its divisors is an integer number (1593250560).

Almost surely, 2^873509966784 is an apocalyptic number.

873509966784 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 873509966784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784440627200).

873509966784 is an abundant number, since it is smaller than the sum of its proper divisors (2695371287616).

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

873509966784 is a wasteful number, since it uses less digits than its factorization.

873509966784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 873509966784 in words is "eight hundred seventy-three billion, five hundred nine million, nine hundred sixty-six thousand, seven hundred eighty-four".