358220620800 has 2640 divisors, whose sum is σ = 1680625647360. Its totient is φ = 73574645760.

The previous prime is 358220620759. The next prime is 358220620811. The reversal of 358220620800 is 8026022853.

358220620800 is a `hidden beast` number, since 3 + 5 + 8 + 2 + 20 + 620 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 9681638382 + ... + 9681638418.

It is an arithmetic number, because the mean of its divisors is an integer number (636600624).

Almost surely, 2^358220620800 is an apocalyptic number.

358220620800 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 358220620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840312823680).

358220620800 is an abundant number, since it is smaller than the sum of its proper divisors (1322405026560).

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

358220620800 is a wasteful number, since it uses less digits than its factorization.

358220620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 358220620800 in words is "three hundred fifty-eight billion, two hundred twenty million, six hundred twenty thousand, eight hundred".