817273730674764 has 576 divisors, whose sum is σ = 2356304793722880. Its totient is φ = 238580740569600.

The previous prime is 817273730674759. The next prime is 817273730674777. The reversal of 817273730674764 is 467476037372718.

817273730674764 is a `hidden beast` number, since 8 + 1 + 7 + 27 + 3 + 73 + 0 + 67 + 476 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 817273730674692 and 817273730674701.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 402796317702 + ... + 402796319730.

Almost surely, 2^{817273730674764} 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 817273730674764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178152396861440).

817273730674764 is an abundant number, since it is smaller than the sum of its proper divisors (1539031063048116).

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

817273730674764 is a wasteful number, since it uses less digits than its factorization.

817273730674764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 1394039808, while the sum is 72.

The spelling of 817273730674764 in words is "eight hundred seventeen trillion, two hundred seventy-three billion, seven hundred thirty million, six hundred seventy-four thousand, seven hundred sixty-four".