873479843712 has 384 divisors, whose sum is σ = 3037628805120. Its totient is φ = 235621785600.

The previous prime is 873479843711. The next prime is 873479843749. The reversal of 873479843712 is 217348974378.

873479843712 is a `hidden beast` number, since 8 + 73 + 47 + 98 + 437 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×873479843712² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 873479843712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873479843711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10206733 + ... + 10291955.

It is an arithmetic number, because the mean of its divisors is an integer number (7910491680).

Almost surely, 2^873479843712 is an apocalyptic number.

873479843712 is a gapful number since it is divisible by the number (82) 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 873479843712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518814402560).

873479843712 is an abundant number, since it is smaller than the sum of its proper divisors (2164148961408).

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

873479843712 is a wasteful number, since it uses less digits than its factorization.

873479843712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85322 (or 85307 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 873479843712 in words is "eight hundred seventy-three billion, four hundred seventy-nine million, eight hundred forty-three thousand, seven hundred twelve".