82230733440 has 896 divisors, whose sum is σ = 314658086400. Its totient is φ = 20495794176.

The previous prime is 82230733427. The next prime is 82230733493. The reversal of 82230733440 is 4433703228.

82230733440 is a `hidden beast` number, since 8 + 2 + 2 + 307 + 3 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82230733395 and 82230733404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 847739472 + ... + 847739568.

It is an arithmetic number, because the mean of its divisors is an integer number (351180900).

Almost surely, 2^82230733440 is an apocalyptic number.

82230733440 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 82230733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157329043200).

82230733440 is an abundant number, since it is smaller than the sum of its proper divisors (232427352960).

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

82230733440 is an equidigital number, since it uses as much as digits as its factorization.

82230733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 82230733440 in words is "eighty-two billion, two hundred thirty million, seven hundred thirty-three thousand, four hundred forty".