378945423360 has 480 divisors, whose sum is σ = 1552318447680. Its totient is φ = 86614769664.

The previous prime is 378945423343. The next prime is 378945423421. The reversal of 378945423360 is 63324549873.

378945423360 is a `hidden beast` number, since 3 + 7 + 8 + 9 + 4 + 542 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 378945423297 and 378945423306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5773447 + ... + 5838713.

It is an arithmetic number, because the mean of its divisors is an integer number (3233996766).

Almost surely, 2^378945423360 is an apocalyptic number.

378945423360 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 378945423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776159223840).

378945423360 is an abundant number, since it is smaller than the sum of its proper divisors (1173373024320).

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

378945423360 is an equidigital number, since it uses as much as digits as its factorization.

378945423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65313 (or 65284 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 378945423360 in words is "three hundred seventy-eight billion, nine hundred forty-five million, four hundred twenty-three thousand, three hundred sixty".