363493560481920 has 768 divisors, whose sum is σ = 1463681193811200. Its totient is φ = 82232534630400.

The previous prime is 363493560481867. The next prime is 363493560481927. The reversal of 363493560481920 is 29184065394363.

363493560481920 is a `hidden beast` number, since 3 + 6 + 3 + 4 + 9 + 3 + 5 + 60 + 481 + 92 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (363493560481927) by changing a digit.

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, 56706616 + ... + 62790344.

It is an arithmetic number, because the mean of its divisors is an integer number (1905834887775).

Almost surely, 2^{363493560481920} is an apocalyptic number.

363493560481920 is a gapful number since it is divisible by the number (30) 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 363493560481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731840596905600).

363493560481920 is an abundant number, since it is smaller than the sum of its proper divisors (1100187633329280).

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

363493560481920 is a wasteful number, since it uses less digits than its factorization.

363493560481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6083829 (or 6083814 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 363493560481920 in words is "three hundred sixty-three trillion, four hundred ninety-three billion, five hundred sixty million, four hundred eighty-one thousand, nine hundred twenty".