378058768000 has 128 divisors (see below), whose sum is σ = 940646154240. Its totient is φ = 151111296000.

The previous prime is 378058767991. The next prime is 378058768007. The reversal of 378058768000 is 867850873.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (378058768007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23527969 + ... + 23544031.

It is an arithmetic number, because the mean of its divisors is an integer number (7348798080).

Almost surely, 2^378058768000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378058768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470323077120).

378058768000 is an abundant number, since it is smaller than the sum of its proper divisors (562587386240).

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

378058768000 is a wasteful number, since it uses less digits than its factorization.

378058768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17563 (or 17541 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 378058768000 in words is "three hundred seventy-eight billion, fifty-eight million, seven hundred sixty-eight thousand".