378768484200 has 192 divisors, whose sum is σ = 1240249190400. Its totient is φ = 95473324800.

The previous prime is 378768484189. The next prime is 378768484271. The reversal of 378768484200 is 2484867873.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563011 + ... + 1036589.

It is an arithmetic number, because the mean of its divisors is an integer number (6459631200).

Almost surely, 2^378768484200 is an apocalyptic number.

378768484200 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 378768484200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620124595200).

378768484200 is an abundant number, since it is smaller than the sum of its proper divisors (861480706200).

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

378768484200 is a wasteful number, since it uses less digits than its factorization.

378768484200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473672 (or 473663 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 378768484200 in words is "three hundred seventy-eight billion, seven hundred sixty-eight million, four hundred eighty-four thousand, two hundred".