873609967319040 has 2304 divisors, whose sum is σ = 3773417231001600. Its totient is φ = 187771286716416.

The previous prime is 873609967319029. The next prime is 873609967319071. The reversal of 873609967319040 is 40913769906378.

873609967319040 is a `hidden beast` number, since 8 + 7 + 3 + 609 + 9 + 6 + 7 + 3 + 1 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a self number, because there is not a number n which added to its sum of digits gives 873609967319040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95717094957 + ... + 95717104083.

It is an arithmetic number, because the mean of its divisors is an integer number (1637767895400).

Almost surely, 2^{873609967319040} is an apocalyptic number.

873609967319040 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 873609967319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886708615500800).

873609967319040 is an abundant number, since it is smaller than the sum of its proper divisors (2899807263682560).

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

873609967319040 is a wasteful number, since it uses less digits than its factorization.

873609967319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9345 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 873609967319040 in words is "eight hundred seventy-three trillion, six hundred nine billion, nine hundred sixty-seven million, three hundred nineteen thousand, forty".