83742841728 has 384 divisors, whose sum is σ = 297321024000. Its totient is φ = 22031585280.

The previous prime is 83742841717. The next prime is 83742841751. The reversal of 83742841728 is 82714824738.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59858373 + ... + 59859771.

It is an arithmetic number, because the mean of its divisors is an integer number (774273500).

Almost surely, 2^83742841728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83742841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148660512000).

83742841728 is an abundant number, since it is smaller than the sum of its proper divisors (213578182272).

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

83742841728 is a wasteful number, since it uses less digits than its factorization.

83742841728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1995 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 83742841728 in words is "eighty-three billion, seven hundred forty-two million, eight hundred forty-one thousand, seven hundred twenty-eight".