83684096000 has 192 divisors, whose sum is σ = 210810600000. Its totient is φ = 33155481600.

The previous prime is 83684095993. The next prime is 83684096009. The reversal of 83684096000 is 69048638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83684096009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27902501 + ... + 27905499.

It is an arithmetic number, because the mean of its divisors is an integer number (1097971875).

Almost surely, 2^83684096000 is an apocalyptic number.

83684096000 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 83684096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105405300000).

83684096000 is an abundant number, since it is smaller than the sum of its proper divisors (127126504000).

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

83684096000 is a wasteful number, since it uses less digits than its factorization.

83684096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 83684096000 in words is "eighty-three billion, six hundred eighty-four million, ninety-six thousand".