817209492480 has 880 divisors, whose sum is σ = 3166985426880. Its totient is φ = 200801452032.

The previous prime is 817209492479. The next prime is 817209492521. The reversal of 817209492480 is 84294902718.

817209492480 is a `hidden beast` number, since 8 + 1 + 72 + 0 + 9 + 4 + 92 + 480 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 291546759 + ... + 291549561.

It is an arithmetic number, because the mean of its divisors is an integer number (3598847076).

Almost surely, 2^817209492480 is an apocalyptic number.

817209492480 is a gapful number since it is divisible by the number (80) 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 817209492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583492713440).

817209492480 is an abundant number, since it is smaller than the sum of its proper divisors (2349775934400).

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

817209492480 is a wasteful number, since it uses less digits than its factorization.

817209492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 817209492480 in words is "eight hundred seventeen billion, two hundred nine million, four hundred ninety-two thousand, four hundred eighty".