817720713437936 has 240 divisors, whose sum is σ = 2079239080181760. Its totient is φ = 307745355456000.

The previous prime is 817720713437863. The next prime is 817720713437987. The reversal of 817720713437936 is 639734317027718.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141806225 + ... + 147459983.

It is an arithmetic number, because the mean of its divisors is an integer number (8663496167424).

Almost surely, 2^{817720713437936} 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 817720713437936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039619540090880).

817720713437936 is an abundant number, since it is smaller than the sum of its proper divisors (1261518366743824).

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

817720713437936 is a wasteful number, since it uses less digits than its factorization.

817720713437936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654364 (or 5654351 counting only the distinct ones).

The product of its (nonzero) digits is 224042112, while the sum is 68.

The spelling of 817720713437936 in words is "eight hundred seventeen trillion, seven hundred twenty billion, seven hundred thirteen million, four hundred thirty-seven thousand, nine hundred thirty-six".