83840747328 has 448 divisors, whose sum is σ = 287011872000. Its totient is φ = 23774404608.

The previous prime is 83840747327. The next prime is 83840747351. The reversal of 83840747328 is 82374704838.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83840747321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15789538 + ... + 15794846.

It is an arithmetic number, because the mean of its divisors is an integer number (640651500).

Almost surely, 2^83840747328 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 83840747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143505936000).

83840747328 is an abundant number, since it is smaller than the sum of its proper divisors (203171124672).

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

83840747328 is a wasteful number, since it uses less digits than its factorization.

83840747328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5399 (or 5383 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 83840747328 in words is "eighty-three billion, eight hundred forty million, seven hundred forty-seven thousand, three hundred twenty-eight".