83765846976 has 224 divisors, whose sum is σ = 264623751168. Its totient is φ = 22881070080.

The previous prime is 83765846963. The next prime is 83765846993. The reversal of 83765846976 is 67964856738.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 83765846976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3446001 + ... + 3470223.

It is an arithmetic number, because the mean of its divisors is an integer number (1181356032).

Almost surely, 2^83765846976 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 83765846976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132311875584).

83765846976 is an abundant number, since it is smaller than the sum of its proper divisors (180857904192).

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

83765846976 is a wasteful number, since it uses less digits than its factorization.

83765846976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24359 (or 24349 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 69.

The spelling of 83765846976 in words is "eighty-three billion, seven hundred sixty-five million, eight hundred forty-six thousand, nine hundred seventy-six".