378075388504320 has 864 divisors, whose sum is σ = 1447166462886144. Its totient is φ = 90526408704000.

The previous prime is 378075388504267. The next prime is 378075388504321. The reversal of 378075388504320 is 23405883570873.

378075388504320 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 7 + 538 + 8 + 50 + 43 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (378075388504321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33307666645 + ... + 33307677995.

It is an arithmetic number, because the mean of its divisors is an integer number (1674961183896).

Almost surely, 2^{378075388504320} is an apocalyptic number.

378075388504320 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 378075388504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723583231443072).

378075388504320 is an abundant number, since it is smaller than the sum of its proper divisors (1069091074381824).

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

378075388504320 is a wasteful number, since it uses less digits than its factorization.

378075388504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17439 (or 17422 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 378075388504320 in words is "three hundred seventy-eight trillion, seventy-five billion, three hundred eighty-eight million, five hundred four thousand, three hundred twenty".