82668605760 has 672 divisors, whose sum is σ = 314175843072. Its totient is φ = 19828408320.

The previous prime is 82668605743. The next prime is 82668605801. The reversal of 82668605760 is 6750686628.

82668605760 is a `hidden beast` number, since 8 + 2 + 6 + 6 + 8 + 60 + 576 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82668605697 and 82668605706.

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 95 ways as a sum of consecutive naturals, for example, 364178767 + ... + 364178993.

It is an arithmetic number, because the mean of its divisors is an integer number (467523576).

Almost surely, 2^82668605760 is an apocalyptic number.

82668605760 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 82668605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157087921536).

82668605760 is an abundant number, since it is smaller than the sum of its proper divisors (231507237312).

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

82668605760 is a wasteful number, since it uses less digits than its factorization.

82668605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 82668605760 in words is "eighty-two billion, six hundred sixty-eight million, six hundred five thousand, seven hundred sixty".