820272194784 has 576 divisors, whose sum is σ = 2836011709440. Its totient is φ = 219957534720.

The previous prime is 820272194773. The next prime is 820272194827. The reversal of 820272194784 is 487491272028.

It is a self number, because there is not a number n which added to its sum of digits gives 820272194784.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 303017559 + ... + 303020265.

It is an arithmetic number, because the mean of its divisors is an integer number (4923631440).

Almost surely, 2^820272194784 is an apocalyptic number.

820272194784 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 820272194784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418005854720).

820272194784 is an abundant number, since it is smaller than the sum of its proper divisors (2015739514656).

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

820272194784 is a wasteful number, since it uses less digits than its factorization.

820272194784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 820272194784 in words is "eight hundred twenty billion, two hundred seventy-two million, one hundred ninety-four thousand, seven hundred eighty-four".