873434016000 has 3240 divisors, whose sum is σ = 4256561292984. Its totient is φ = 176272588800.

The previous prime is 873434015969. The next prime is 873434016017. The reversal of 873434016000 is 610434378.

873434016000 is a `hidden beast` number, since 8 + 7 + 3 + 4 + 3 + 40 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137599451136 + 735834564864 = 370944^2 + 857808^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 37975391989 + ... + 37975392011.

Almost surely, 2^873434016000 is an apocalyptic number.

873434016000 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 873434016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128280646492).

873434016000 is an abundant number, since it is smaller than the sum of its proper divisors (3383127276984).

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

873434016000 is a wasteful number, since it uses less digits than its factorization.

873434016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 873434016000 in words is "eight hundred seventy-three billion, four hundred thirty-four million, sixteen thousand".