819003497364 has 144 divisors (see below), whose sum is σ = 2240504098560. Its totient is φ = 250759998720.

The previous prime is 819003497363. The next prime is 819003497387. The reversal of 819003497364 is 463794300918.

It is a happy number.

819003497364 is a `hidden beast` number, since 8 + 1 + 90 + 0 + 3 + 497 + 3 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 819003497364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819003497363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269673654 + ... + 269676690.

It is an arithmetic number, because the mean of its divisors is an integer number (15559056240).

Almost surely, 2^819003497364 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 819003497364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120252049280).

819003497364 is an abundant number, since it is smaller than the sum of its proper divisors (1421500601196).

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

819003497364 is a wasteful number, since it uses less digits than its factorization.

819003497364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 819003497364 in words is "eight hundred nineteen billion, three million, four hundred ninety-seven thousand, three hundred sixty-four".