82370384600 has 192 divisors, whose sum is σ = 234740332800. Its totient is φ = 26249633280.

The previous prime is 82370384599. The next prime is 82370384617. The reversal of 82370384600 is 648307328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380587 + ... + 1439013.

It is an arithmetic number, because the mean of its divisors is an integer number (1222605900).

Almost surely, 2^82370384600 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 82370384600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117370166400).

82370384600 is an abundant number, since it is smaller than the sum of its proper divisors (152369948200).

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

82370384600 is a wasteful number, since it uses less digits than its factorization.

82370384600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58522 (or 58513 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 82370384600 in words is "eighty-two billion, three hundred seventy million, three hundred eighty-four thousand, six hundred".