363222558720 has 1152 divisors, whose sum is σ = 1525077590400. Its totient is φ = 82771476480.

The previous prime is 363222558701. The next prime is 363222558767. The reversal of 363222558720 is 27855222363.

363222558720 is a `hidden beast` number, since 3 + 6 + 3 + 2 + 22 + 558 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1097348955 + ... + 1097349285.

It is an arithmetic number, because the mean of its divisors is an integer number (1323852075).

Almost surely, 2^363222558720 is an apocalyptic number.

363222558720 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 363222558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762538795200).

363222558720 is an abundant number, since it is smaller than the sum of its proper divisors (1161855031680).

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

363222558720 is an frugal number, since it uses more digits than its factorization.

363222558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 363222558720 in words is "three hundred sixty-three billion, two hundred twenty-two million, five hundred fifty-eight thousand, seven hundred twenty".