817049067120 has 1920 divisors, whose sum is σ = 3639767040000. Its totient is φ = 167289753600.

The previous prime is 817049067073. The next prime is 817049067157. The reversal of 817049067120 is 21760940718.

It is a happy number.

817049067120 is a `hidden beast` number, since 8 + 1 + 70 + 490 + 6 + 71 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1637372631 + ... + 1637373129.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712000).

Almost surely, 2^817049067120 is an apocalyptic number.

817049067120 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 817049067120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819883520000).

817049067120 is an abundant number, since it is smaller than the sum of its proper divisors (2822717972880).

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

817049067120 is a wasteful number, since it uses less digits than its factorization.

817049067120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 817049067120 in words is "eight hundred seventeen billion, forty-nine million, sixty-seven thousand, one hundred twenty".