82167736742 has 32 divisors (see below), whose sum is σ = 151722208512. Its totient is φ = 32499933984.

The previous prime is 82167736741. The next prime is 82167736753. The reversal of 82167736742 is 24763776128.

It is a super-2 number, since 2×82167736742² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82167736741) 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, 1024793 + ... + 1102059.

It is an arithmetic number, because the mean of its divisors is an integer number (4741319016).

Almost surely, 2^82167736742 is an apocalyptic number.

82167736742 is a deficient number, since it is larger than the sum of its proper divisors (69554471770).

82167736742 is a wasteful number, since it uses less digits than its factorization.

82167736742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83132.

The product of its digits is 4741632, while the sum is 53.

The spelling of 82167736742 in words is "eighty-two billion, one hundred sixty-seven million, seven hundred thirty-six thousand, seven hundred forty-two".