378305647776 has 360 divisors, whose sum is σ = 1296155003220. Its totient is φ = 107926898688.

The previous prime is 378305647757. The next prime is 378305647787. The reversal of 378305647776 is 677746503873.

It is a happy number.

378305647776 is a `hidden beast` number, since 37 + 8 + 30 + 564 + 7 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 377148287376 + 1157360400 = 614124^2 + 34020^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 59 ways as a sum of consecutive naturals, for example, 105287836 + ... + 105291428.

Almost surely, 2^378305647776 is an apocalyptic number.

378305647776 is a gapful number since it is divisible by the number (36) 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 378305647776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648077501610).

378305647776 is an abundant number, since it is smaller than the sum of its proper divisors (917849355444).

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

378305647776 is a wasteful number, since it uses less digits than its factorization.

378305647776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 63.

The spelling of 378305647776 in words is "three hundred seventy-eight billion, three hundred five million, six hundred forty-seven thousand, seven hundred seventy-six".