368229375360 has 1536 divisors, whose sum is σ = 1715288140800. Its totient is φ = 70469222400.

The previous prime is 368229375359. The next prime is 368229375373. The reversal of 368229375360 is 63573922863.

It is a happy number.

368229375360 is a `hidden beast` number, since 3 + 6 + 82 + 29 + 3 + 7 + 536 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 368229375297 and 368229375306.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 311793970 + ... + 311795150.

It is an arithmetic number, because the mean of its divisors is an integer number (1116724050).

Almost surely, 2^368229375360 is an apocalyptic number.

368229375360 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 368229375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857644070400).

368229375360 is an abundant number, since it is smaller than the sum of its proper divisors (1347058765440).

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

368229375360 is a wasteful number, since it uses less digits than its factorization.

368229375360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 368229375360 in words is "three hundred sixty-eight billion, two hundred twenty-nine million, three hundred seventy-five thousand, three hundred sixty".