82337790528 has 252 divisors, whose sum is σ = 286476765120. Its totient is φ = 22502075904.

The previous prime is 82337790517. The next prime is 82337790539. The reversal of 82337790528 is 82509773328.

82337790528 is a `hidden beast` number, since 8 + 23 + 3 + 7 + 7 + 90 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (82337790517) and next prime (82337790539).

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 585733 + ... + 712571.

It is an arithmetic number, because the mean of its divisors is an integer number (1136812560).

Almost surely, 2^82337790528 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 82337790528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143238382560).

82337790528 is an abundant number, since it is smaller than the sum of its proper divisors (204138974592).

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

82337790528 is a wasteful number, since it uses less digits than its factorization.

82337790528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126894 (or 126874 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 82337790528 in words is "eighty-two billion, three hundred thirty-seven million, seven hundred ninety thousand, five hundred twenty-eight".