378979601728 has 224 divisors, whose sum is σ = 935600327424. Its totient is φ = 148313161728.

The previous prime is 378979601711. The next prime is 378979601753. The reversal of 378979601728 is 827106979873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228713476 + ... + 228715132.

It is an arithmetic number, because the mean of its divisors is an integer number (4176787176).

Almost surely, 2^378979601728 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 378979601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467800163712).

378979601728 is an abundant number, since it is smaller than the sum of its proper divisors (556620725696).

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

378979601728 is a wasteful number, since it uses less digits than its factorization.

378979601728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 67.

The spelling of 378979601728 in words is "three hundred seventy-eight billion, nine hundred seventy-nine million, six hundred one thousand, seven hundred twenty-eight".