82336044000 has 768 divisors, whose sum is σ = 338749931520. Its totient is φ = 17046374400.

The previous prime is 82336043969. The next prime is 82336044001. The reversal of 82336044000 is 44063328.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82336044001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36706879 + ... + 36709121.

It is an arithmetic number, because the mean of its divisors is an integer number (441080640).

Almost surely, 2^82336044000 is an apocalyptic number.

82336044000 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 82336044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169374965760).

82336044000 is an abundant number, since it is smaller than the sum of its proper divisors (256413887520).

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

82336044000 is a wasteful number, since it uses less digits than its factorization.

82336044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 82336044000 in words is "eighty-two billion, three hundred thirty-six million, forty-four thousand".