378442608693120 has 1280 divisors, whose sum is σ = 1466835641568000. Its totient is φ = 92668938485760.

The previous prime is 378442608693109. The next prime is 378442608693211. The reversal of 378442608693120 is 21396806244873.

378442608693120 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 4 + 2 + 608 + 6 + 9 + 3 + 12 + 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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5548245576 + ... + 5548313784.

It is an arithmetic number, because the mean of its divisors is an integer number (1145965344975).

Almost surely, 2^{378442608693120} is an apocalyptic number.

378442608693120 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 378442608693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733417820784000).

378442608693120 is an abundant number, since it is smaller than the sum of its proper divisors (1088393032874880).

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

378442608693120 is a wasteful number, since it uses less digits than its factorization.

378442608693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68433 (or 68412 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 378442608693120 in words is "three hundred seventy-eight trillion, four hundred forty-two billion, six hundred eight million, six hundred ninety-three thousand, one hundred twenty".