817965716040 has 768 divisors, whose sum is σ = 3256759296000. Its totient is φ = 181781107200.

The previous prime is 817965716023. The next prime is 817965716077. The reversal of 817965716040 is 40617569718.

817965716040 is a `hidden beast` number, since 8 + 1 + 7 + 9 + 6 + 571 + 60 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76965207 + ... + 76975833.

It is an arithmetic number, because the mean of its divisors is an integer number (4240572000).

Almost surely, 2^817965716040 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 817965716040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628379648000).

817965716040 is an abundant number, since it is smaller than the sum of its proper divisors (2438793579960).

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

817965716040 is a wasteful number, since it uses less digits than its factorization.

817965716040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10719 (or 10698 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 817965716040 in words is "eight hundred seventeen billion, nine hundred sixty-five million, seven hundred sixteen thousand, forty".