378691120080 has 640 divisors, whose sum is σ = 1699841203200. Its totient is φ = 75199021056.

The previous prime is 378691120057. The next prime is 378691120127. The reversal of 378691120080 is 80021196873.

378691120080 is a `hidden beast` number, since 378 + 69 + 11 + 200 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3284856 + ... + 3398184.

It is an arithmetic number, because the mean of its divisors is an integer number (2656001880).

Almost surely, 2^378691120080 is an apocalyptic number.

378691120080 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 378691120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849920601600).

378691120080 is an abundant number, since it is smaller than the sum of its proper divisors (1321150083120).

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

378691120080 is a wasteful number, since it uses less digits than its factorization.

378691120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113388 (or 113376 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 378691120080 in words is "three hundred seventy-eight billion, six hundred ninety-one million, one hundred twenty thousand, eighty".