492080072706 has 80 divisors (see below), whose sum is σ = 1108447135488. Its totient is φ = 163161280800.

The previous prime is 492080072681. The next prime is 492080072741. The reversal of 492080072706 is 607270080294.

492080072706 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104628751 + ... + 104633453.

Almost surely, 2^492080072706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492080072706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554223567744).

492080072706 is an abundant number, since it is smaller than the sum of its proper divisors (616367062782).

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

492080072706 is a wasteful number, since it uses less digits than its factorization.

492080072706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 492080072706 in words is "four hundred ninety-two billion, eighty million, seventy-two thousand, seven hundred six".