82973027984 has 320 divisors, whose sum is σ = 221546534400. Its totient is φ = 29350379520.

The previous prime is 82973027981. The next prime is 82973027999. The reversal of 82973027984 is 48972037928.

It is not an unprimeable number, because it can be changed into a prime (82973027981) 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, 73491932 + ... + 73493060.

It is an arithmetic number, because the mean of its divisors is an integer number (692332920).

Almost surely, 2^82973027984 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 82973027984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110773267200).

82973027984 is an abundant number, since it is smaller than the sum of its proper divisors (138573506416).

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

82973027984 is a wasteful number, since it uses less digits than its factorization.

82973027984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 59.

The spelling of 82973027984 in words is "eighty-two billion, nine hundred seventy-three million, twenty-seven thousand, nine hundred eighty-four".