742082164761 has 16 divisors (see below), whose sum is σ = 1133094924288. Its totient is φ = 423183306000.

The previous prime is 742082164711. The next prime is 742082164841. The reversal of 742082164761 is 167461280247.

It is not a de Polignac number, because 742082164761 - 2¹¹ = 742082162713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 742082164761.

It is not an unprimeable number, because it can be changed into a prime (742082164711) 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 15 ways as a sum of consecutive naturals, for example, 35974665 + ... + 35995286.

It is an arithmetic number, because the mean of its divisors is an integer number (70818432768).

Almost surely, 2^742082164761 is an apocalyptic number.

It is an amenable number.

742082164761 is a deficient number, since it is larger than the sum of its proper divisors (391012759527).

742082164761 is a wasteful number, since it uses less digits than its factorization.

742082164761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71970452.

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 742082164761 in words is "seven hundred forty-two billion, eighty-two million, one hundred sixty-four thousand, seven hundred sixty-one".