873432668160 has 1728 divisors, whose sum is σ = 3561365283840. Its totient is φ = 204957941760.

The previous prime is 873432668149. The next prime is 873432668167. The reversal of 873432668160 is 61866234378.

873432668160 is a `hidden beast` number, since 8 + 73 + 432 + 6 + 6 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 873432668097 and 873432668106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873432668167) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13036308447 + ... + 13036308513.

It is an arithmetic number, because the mean of its divisors is an integer number (2060975280).

Almost surely, 2^873432668160 is an apocalyptic number.

873432668160 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 873432668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780682641920).

873432668160 is an abundant number, since it is smaller than the sum of its proper divisors (2687932615680).

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

873432668160 is a wasteful number, since it uses less digits than its factorization.

873432668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 873432668160 in words is "eight hundred seventy-three billion, four hundred thirty-two million, six hundred sixty-eight thousand, one hundred sixty".