817327145376 has 864 divisors, whose sum is σ = 2894241430080. Its totient is φ = 217811607552.

The previous prime is 817327145359. The next prime is 817327145431. The reversal of 817327145376 is 673541723718.

817327145376 is a `hidden beast` number, since 8 + 1 + 7 + 32 + 71 + 4 + 537 + 6 = 666.

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 143 ways as a sum of consecutive naturals, for example, 1324679020 + ... + 1324679636.

It is an arithmetic number, because the mean of its divisors is an integer number (3349816470).

Almost surely, 2^817327145376 is an apocalyptic number.

817327145376 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817327145376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447120715040).

817327145376 is an abundant number, since it is smaller than the sum of its proper divisors (2076914284704).

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

817327145376 is a wasteful number, since it uses less digits than its factorization.

817327145376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 768 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 817327145376 in words is "eight hundred seventeen billion, three hundred twenty-seven million, one hundred forty-five thousand, three hundred seventy-six".