809603742060 has 288 divisors, whose sum is σ = 2564191183680. Its totient is φ = 212067237888.

The previous prime is 809603742019. The next prime is 809603742113. The reversal of 809603742060 is 60247306908.

809603742060 is a `hidden beast` number, since 80 + 9 + 60 + 37 + 420 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 809603741997 and 809603742015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1015813582 + ... + 1015814378.

It is an arithmetic number, because the mean of its divisors is an integer number (8903441610).

Almost surely, 2^809603742060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809603742060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282095591840).

809603742060 is an abundant number, since it is smaller than the sum of its proper divisors (1754587441620).

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

809603742060 is a wasteful number, since it uses less digits than its factorization.

809603742060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 809603742060 in words is "eight hundred nine billion, six hundred three million, seven hundred forty-two thousand, sixty".