820492705747 has 16 divisors (see below), whose sum is σ = 995030184960. Its totient is φ = 666314848800.

The previous prime is 820492705741. The next prime is 820492705751. The reversal of 820492705747 is 747507294028.

It is a cyclic number.

It is not a de Polignac number, because 820492705747 - 2³¹ = 818345222099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820492705741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92539297 + ... + 92548162.

It is an arithmetic number, because the mean of its divisors is an integer number (62189386560).

Almost surely, 2^820492705747 is an apocalyptic number.

820492705747 is a deficient number, since it is larger than the sum of its proper divisors (174537479213).

820492705747 is a wasteful number, since it uses less digits than its factorization.

820492705747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185087514.

The product of its (nonzero) digits is 7902720, while the sum is 55.

The spelling of 820492705747 in words is "eight hundred twenty billion, four hundred ninety-two million, seven hundred five thousand, seven hundred forty-seven".