82766700527632 has 40 divisors (see below), whose sum is σ = 176197259841120. Its totient is φ = 37350571188480.

The previous prime is 82766700527597. The next prime is 82766700527639. The reversal of 82766700527632 is 23672500766728.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82766700527639) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1691577493 + ... + 1691626420.

It is an arithmetic number, because the mean of its divisors is an integer number (4404931496028).

Almost surely, 2^{82766700527632} is an apocalyptic number.

It is an amenable number.

82766700527632 is an abundant number, since it is smaller than the sum of its proper divisors (93430559313488).

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

82766700527632 is a wasteful number, since it uses less digits than its factorization.

82766700527632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383204071 (or 3383204065 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 61.

The spelling of 82766700527632 in words is "eighty-two trillion, seven hundred sixty-six billion, seven hundred million, five hundred twenty-seven thousand, six hundred thirty-two".