82672624342352 has 80 divisors (see below), whose sum is σ = 179466983467200. Its totient is φ = 36561931038720.

The previous prime is 82672624342351. The next prime is 82672624342369. The reversal of 82672624342352 is 25324342627628.

It is a happy number.

82672624342352 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×82672624342352³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82672624342351) 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, 312241799 + ... + 312506457.

It is an arithmetic number, because the mean of its divisors is an integer number (2243337293340).

Almost surely, 2^{82672624342352} is an apocalyptic number.

It is an amenable number.

82672624342352 is an abundant number, since it is smaller than the sum of its proper divisors (96794359124848).

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

82672624342352 is a wasteful number, since it uses less digits than its factorization.

82672624342352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312684 (or 312678 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 56.

The spelling of 82672624342352 in words is "eighty-two trillion, six hundred seventy-two billion, six hundred twenty-four million, three hundred forty-two thousand, three hundred fifty-two".