820238327424 has 448 divisors, whose sum is σ = 2596631574600. Its totient is φ = 257511260160.

The previous prime is 820238327413. The next prime is 820238327479. The reversal of 820238327424 is 424723832028.

820238327424 is a `hidden beast` number, since 8 + 202 + 383 + 27 + 42 + 4 = 666.

820238327424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 358762665024 + 461475662400 = 598968^2 + 679320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 820238327424.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 110944272 + ... + 110951664.

Almost surely, 2^820238327424 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 820238327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298315787300).

820238327424 is an abundant number, since it is smaller than the sum of its proper divisors (1776393247176).

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

820238327424 is an equidigital number, since it uses as much as digits as its factorization.

820238327424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7495 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 820238327424 in words is "eight hundred twenty billion, two hundred thirty-eight million, three hundred twenty-seven thousand, four hundred twenty-four".