368379253440 has 2016 divisors, whose sum is σ = 1593645580800. Its totient is φ = 77613465600.

The previous prime is 368379253397. The next prime is 368379253447. The reversal of 368379253440 is 44352973863.

368379253440 is a `hidden beast` number, since 3 + 6 + 83 + 79 + 2 + 53 + 440 = 666.

It is not an unprimeable number, because it can be changed into a prime (368379253447) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 6243716131 + ... + 6243716189.

It is an arithmetic number, because the mean of its divisors is an integer number (790498800).

Almost surely, 2^368379253440 is an apocalyptic number.

368379253440 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 368379253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796822790400).

368379253440 is an abundant number, since it is smaller than the sum of its proper divisors (1225266327360).

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

368379253440 is a wasteful number, since it uses less digits than its factorization.

368379253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 368379253440 in words is "three hundred sixty-eight billion, three hundred seventy-nine million, two hundred fifty-three thousand, four hundred forty".