82660850064 has 405 divisors, whose sum is σ = 267131194083. Its totient is φ = 23847063552.

The previous prime is 82660850057. The next prime is 82660850081. The reversal of 82660850064 is 46005806628.

The square root of 82660850064 is 287508.

It is a perfect power (a square), and thus also a powerful number.

82660850064 is a `hidden beast` number, since 8 + 26 + 60 + 8 + 500 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15102443664 + 67558406400 = 122892^2 + 259920^2 .

It is a super-2 number, since 2×82660850064² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 852173664 + ... + 852173760.

Almost surely, 2^82660850064 is an apocalyptic number.

82660850064 is the 287508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82660850064

82660850064 is an abundant number, since it is smaller than the sum of its proper divisors (184470344019).

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

82660850064 is a wasteful number, since it uses less digits than its factorization.

82660850064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 82660850064 in words is "eighty-two billion, six hundred sixty million, eight hundred fifty thousand, sixty-four".