378227486779200 has 504 divisors, whose sum is σ = 1345746987114816. Its totient is φ = 100752906240000.

The previous prime is 378227486779199. The next prime is 378227486779217. The reversal of 378227486779200 is 2977684722873.

It is a happy number.

378227486779200 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 274 + 86 + 7 + 79 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81112476069 + ... + 81112480731.

Almost surely, 2^{378227486779200} is an apocalyptic number.

378227486779200 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 378227486779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672873493557408).

378227486779200 is an abundant number, since it is smaller than the sum of its proper divisors (967519500335616).

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

378227486779200 is a wasteful number, since it uses less digits than its factorization.

378227486779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 72.

The spelling of 378227486779200 in words is "three hundred seventy-eight trillion, two hundred twenty-seven billion, four hundred eighty-six million, seven hundred seventy-nine thousand, two hundred".