82370000427264 has 243 divisors, whose sum is σ = 261061231967809. Its totient is φ = 24959154063360.

The previous prime is 82370000427203. The next prime is 82370000427283. The reversal of 82370000427264 is 46272400007328.

The square root of 82370000427264 is 9075792.

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

82370000427264 is a `hidden beast` number, since 8 + 2 + 370 + 0 + 0 + 0 + 4 + 272 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76923564689664 + 5446435737600 = 8770608^2 + 2333760^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 4792009582 + ... + 4792026770.

Almost surely, 2^{82370000427264} is an apocalyptic number.

82370000427264 is the 9075792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82370000427264

82370000427264 is an abundant number, since it is smaller than the sum of its proper divisors (178691231540545).

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

82370000427264 is an frugal number, since it uses more digits than its factorization.

82370000427264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34422 (or 17205 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 82370000427264 in words is "eighty-two trillion, three hundred seventy billion, four hundred twenty-seven thousand, two hundred sixty-four".