82796478464 has 288 divisors, whose sum is σ = 202936430592. Its totient is φ = 33030144000.

The previous prime is 82796478419. The next prime is 82796478473. The reversal of 82796478464 is 46487469728.

It is a self number, because there is not a number n which added to its sum of digits gives 82796478464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166147549 + ... + 1166147619.

It is an arithmetic number, because the mean of its divisors is an integer number (704640384).

Almost surely, 2^82796478464 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 82796478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101468215296).

82796478464 is an abundant number, since it is smaller than the sum of its proper divisors (120139952128).

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

82796478464 is an frugal number, since it uses more digits than its factorization.

82796478464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 152 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 65.

The spelling of 82796478464 in words is "eighty-two billion, seven hundred ninety-six million, four hundred seventy-eight thousand, four hundred sixty-four".