82642120362 has 24 divisors (see below), whose sum is σ = 179110616256. Its totient is φ = 27539267496.

The previous prime is 82642120357. The next prime is 82642120367. The reversal of 82642120362 is 26302124628.

82642120362 is a `hidden beast` number, since 8 + 2 + 642 + 1 + 2 + 0 + 3 + 6 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (82642120357) and next prime (82642120367).

It is a super-2 number, since 2×82642120362² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82642120367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612468 + ... + 735119.

It is an arithmetic number, because the mean of its divisors is an integer number (7462942344).

Almost surely, 2^82642120362 is an apocalyptic number.

82642120362 is an abundant number, since it is smaller than the sum of its proper divisors (96468495894).

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

82642120362 is a wasteful number, since it uses less digits than its factorization.

82642120362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351002 (or 1350999 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 82642120362 in words is "eighty-two billion, six hundred forty-two million, one hundred twenty thousand, three hundred sixty-two".