820492705746 has 48 divisors (see below), whose sum is σ = 2120030849664. Its totient is φ = 224234030592.

The previous prime is 820492705741. The next prime is 820492705751. The reversal of 820492705746 is 647507294028.

820492705746 is a `hidden beast` number, since 8 + 2 + 0 + 49 + 27 + 0 + 574 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (820492705741) and next prime (820492705751).

It is a junction number, because it is equal to n+sod(n) for n = 820492705692 and 820492705701.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141558991 + ... + 141564786.

It is an arithmetic number, because the mean of its divisors is an integer number (44167309368).

Almost surely, 2^820492705746 is an apocalyptic number.

820492705746 is an abundant number, since it is smaller than the sum of its proper divisors (1299538143918).

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

820492705746 is a wasteful number, since it uses less digits than its factorization.

820492705746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283123815 (or 283123812 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 820492705746 in words is "eight hundred twenty billion, four hundred ninety-two million, seven hundred five thousand, seven hundred forty-six".