9378440580600 has 576 divisors, whose sum is σ = 38784358267200. Its totient is φ = 1977720053760.

The previous prime is 9378440580589. The next prime is 9378440580617. The reversal of 9378440580600 is 60850448739.

9378440580600 is a `hidden beast` number, since 93 + 7 + 8 + 440 + 58 + 0 + 60 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 338888364 + ... + 338916036.

It is an arithmetic number, because the mean of its divisors is an integer number (67333955325).

Almost surely, 2^{9378440580600} is an apocalyptic number.

9378440580600 is a gapful number since it is divisible by the number (90) 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 9378440580600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392179133600).

9378440580600 is an abundant number, since it is smaller than the sum of its proper divisors (29405917686600).

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

9378440580600 is a wasteful number, since it uses less digits than its factorization.

9378440580600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29784 (or 29772 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 9378440580600 in words is "nine trillion, three hundred seventy-eight billion, four hundred forty million, five hundred eighty thousand, six hundred".