873793964448 has 144 divisors (see below), whose sum is σ = 2577565238976. Its totient is φ = 291187560960.

The previous prime is 873793964383. The next prime is 873793964467. The reversal of 873793964448 is 844469397378.

It is a happy number.

873793964448 is a `hidden beast` number, since 8 + 7 + 3 + 7 + 93 + 96 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 34520565 + ... + 34545867.

It is an arithmetic number, because the mean of its divisors is an integer number (17899758604).

Almost surely, 2^873793964448 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 873793964448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288782619488).

873793964448 is an abundant number, since it is smaller than the sum of its proper divisors (1703771274528).

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

873793964448 is a wasteful number, since it uses less digits than its factorization.

873793964448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29769 (or 29749 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 873793964448 in words is "eight hundred seventy-three billion, seven hundred ninety-three million, nine hundred sixty-four thousand, four hundred forty-eight".