378459994096800 has 2304 divisors, whose sum is σ = 1750285014589440. Its totient is φ = 76643573760000.

The previous prime is 378459994096777. The next prime is 378459994096801. The reversal of 378459994096800 is 8690499954873.

378459994096800 is a `hidden beast` number, since 3 + 7 + 8 + 45 + 9 + 99 + 409 + 6 + 80 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 378459994096800.

It is not an unprimeable number, because it can be changed into a prime (378459994096801) 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 383 ways as a sum of consecutive naturals, for example, 13310575384 + ... + 13310603816.

It is an arithmetic number, because the mean of its divisors is an integer number (759672315360).

Almost surely, 2^{378459994096800} is an apocalyptic number.

378459994096800 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 378459994096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875142507294720).

378459994096800 is an abundant number, since it is smaller than the sum of its proper divisors (1371825020492640).

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

378459994096800 is a wasteful number, since it uses less digits than its factorization.

378459994096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28684 (or 28665 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 378459994096800 in words is "three hundred seventy-eight trillion, four hundred fifty-nine billion, nine hundred ninety-four million, ninety-six thousand, eight hundred".