819320274864 has 360 divisors, whose sum is σ = 2880983126112. Its totient is φ = 216076170240.

The previous prime is 819320274847. The next prime is 819320274901. The reversal of 819320274864 is 468472023918.

It is a self number, because there is not a number n which added to its sum of digits gives 819320274864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31449684 + ... + 31475724.

Almost surely, 2^819320274864 is an apocalyptic number.

819320274864 is a gapful number since it is divisible by the number (84) 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 819320274864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440491563056).

819320274864 is an abundant number, since it is smaller than the sum of its proper divisors (2061662851248).

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

819320274864 is a wasteful number, since it uses less digits than its factorization.

819320274864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26103 (or 26066 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 819320274864 in words is "eight hundred nineteen billion, three hundred twenty million, two hundred seventy-four thousand, eight hundred sixty-four".