83684160000 has 900 divisors, whose sum is σ = 351666760302. Its totient is φ = 19095552000.

The previous prime is 83684159969. The next prime is 83684160017. The reversal of 83684160000 is 6148638.

It is a happy number.

83684160000 is a `hidden beast` number, since 8 + 3 + 6 + 8 + 41 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2308610304 + 81375549696 = 48048^2 + 285264^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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 89 ways as a sum of consecutive naturals, for example, 141119704 + ... + 141120296.

Almost surely, 2^83684160000 is an apocalyptic number.

83684160000 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 83684160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175833380151).

83684160000 is an abundant number, since it is smaller than the sum of its proper divisors (267982600302).

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

83684160000 is an equidigital number, since it uses as much as digits as its factorization.

83684160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 83684160000 in words is "eighty-three billion, six hundred eighty-four million, one hundred sixty thousand".