378947784960 has 216 divisors, whose sum is σ = 1315268561880. Its totient is φ = 100732993536.

The previous prime is 378947784893. The next prime is 378947784961. The reversal of 378947784960 is 69487749873.

378947784960 is a `hidden beast` number, since 3 + 78 + 9 + 477 + 84 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38881529856 + 340066255104 = 197184^2 + 583152^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (378947784961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3599956 + ... + 3703724.

It is an arithmetic number, because the mean of its divisors is an integer number (6089206305).

Almost surely, 2^378947784960 is an apocalyptic number.

378947784960 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 378947784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657634280940).

378947784960 is an abundant number, since it is smaller than the sum of its proper divisors (936320776920).

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

378947784960 is a wasteful number, since it uses less digits than its factorization.

378947784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104113 (or 104096 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 378947784960 in words is "three hundred seventy-eight billion, nine hundred forty-seven million, seven hundred eighty-four thousand, nine hundred sixty".