820494594360 has 1280 divisors, whose sum is σ = 3368729088000. Its totient is φ = 177384453120.

The previous prime is 820494594343. The next prime is 820494594397. The reversal of 820494594360 is 63495494028.

820494594360 is a `hidden beast` number, since 8 + 2 + 0 + 49 + 4 + 594 + 3 + 6 + 0 = 666.

820494594360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×820494594360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 820494594297 and 820494594306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4742743234 + ... + 4742743406.

It is an arithmetic number, because the mean of its divisors is an integer number (2631819600).

Almost surely, 2^820494594360 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 820494594360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684364544000).

820494594360 is an abundant number, since it is smaller than the sum of its proper divisors (2548234493640).

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

820494594360 is a wasteful number, since it uses less digits than its factorization.

820494594360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 820494594360 in words is "eight hundred twenty billion, four hundred ninety-four million, five hundred ninety-four thousand, three hundred sixty".