82064831764607 has 16 divisors (see below), whose sum is σ = 82472960132640. Its totient is φ = 81657279360000.

The previous prime is 82064831764579. The next prime is 82064831764621. The reversal of 82064831764607 is 70646713846028.

It is a cyclic number.

It is not a de Polignac number, because 82064831764607 - 2³² = 82060536797311 is a prime.

It is a super-2 number, since 2×82064831764607² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82064831764607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82064831724607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3238664144 + ... + 3238689482.

It is an arithmetic number, because the mean of its divisors is an integer number (5154560008290).

Almost surely, 2^{82064831764607} is an apocalyptic number.

82064831764607 is a deficient number, since it is larger than the sum of its proper divisors (408128368033).

82064831764607 is a wasteful number, since it uses less digits than its factorization.

82064831764607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36074.

The product of its (nonzero) digits is 65028096, while the sum is 62.

The spelling of 82064831764607 in words is "eighty-two trillion, sixty-four billion, eight hundred thirty-one million, seven hundred sixty-four thousand, six hundred seven".