378085564800 has 288 divisors, whose sum is σ = 1368104690160. Its totient is φ = 99402240000.

The previous prime is 378085564799. The next prime is 378085564853. The reversal of 378085564800 is 8465580873.

378085564800 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 8 + 556 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1952350 + ... + 2137250.

Almost surely, 2^378085564800 is an apocalyptic number.

378085564800 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 378085564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684052345080).

378085564800 is an abundant number, since it is smaller than the sum of its proper divisors (990019125360).

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

378085564800 is a wasteful number, since it uses less digits than its factorization.

378085564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185002 (or 184982 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 378085564800 in words is "three hundred seventy-eight billion, eighty-five million, five hundred sixty-four thousand, eight hundred".