82664007209072 has 40 divisors (see below), whose sum is σ = 169172852006400. Its totient is φ = 39068510523840.

The previous prime is 82664007209071. The next prime is 82664007209083. The reversal of 82664007209072 is 27090270046628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82664007209071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1937900822 + ... + 1937943477.

It is an arithmetic number, because the mean of its divisors is an integer number (4229321300160).

Almost surely, 2^{82664007209072} is an apocalyptic number.

It is an amenable number.

82664007209072 is an abundant number, since it is smaller than the sum of its proper divisors (86508844797328).

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

82664007209072 is a wasteful number, since it uses less digits than its factorization.

82664007209072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875844381 (or 3875844375 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 82664007209072 in words is "eighty-two trillion, six hundred sixty-four billion, seven million, two hundred nine thousand, seventy-two".