82333440000 has 720 divisors, whose sum is σ = 339929750160. Its totient is φ = 18800640000.

The previous prime is 82333439869. The next prime is 82333440011. The reversal of 82333440000 is 4433328.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 80639490 + ... + 80640510.

It is an arithmetic number, because the mean of its divisors is an integer number (472124653).

Almost surely, 2^82333440000 is an apocalyptic number.

82333440000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82333440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169964875080).

82333440000 is an abundant number, since it is smaller than the sum of its proper divisors (257596310160).

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

82333440000 is a wasteful number, since it uses less digits than its factorization.

82333440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 82333440000 its reverse (4433328), we get a palindrome (82337873328).

The spelling of 82333440000 in words is "eighty-two billion, three hundred thirty-three million, four hundred forty thousand".