820246619791872 has 1200 divisors, whose sum is σ = 3228424192002240. Its totient is φ = 204942928232448.

The previous prime is 820246619791843. The next prime is 820246619791903. The reversal of 820246619791872 is 278197916642028.

It is a happy number.

820246619791872 is a `hidden beast` number, since 8 + 2 + 0 + 2 + 466 + 1 + 9 + 7 + 91 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 820246619791872.

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 119 ways as a sum of consecutive naturals, for example, 501118533 + ... + 502752699.

Almost surely, 2^{820246619791872} 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 820246619791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614212096001120).

820246619791872 is an abundant number, since it is smaller than the sum of its proper divisors (2408177572210368).

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

820246619791872 is a wasteful number, since it uses less digits than its factorization.

820246619791872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634243 (or 1634211 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 820246619791872 in words is "eight hundred twenty trillion, two hundred forty-six billion, six hundred nineteen million, seven hundred ninety-one thousand, eight hundred seventy-two".