378150845760 has 1008 divisors, whose sum is σ = 1451295885312. Its totient is φ = 93610598400.

The previous prime is 378150845759. The next prime is 378150845777. The reversal of 378150845760 is 67548051873.

It is a happy number.

378150845760 is a `hidden beast` number, since 3 + 7 + 81 + 50 + 8 + 457 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 378150845697 and 378150845706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1979847265 + ... + 1979847455.

It is an arithmetic number, because the mean of its divisors is an integer number (1439777664).

Almost surely, 2^378150845760 is an apocalyptic number.

378150845760 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 378150845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725647942656).

378150845760 is an abundant number, since it is smaller than the sum of its proper divisors (1073145039552).

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

378150845760 is an equidigital number, since it uses as much as digits as its factorization.

378150845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 378150845760 in words is "three hundred seventy-eight billion, one hundred fifty million, eight hundred forty-five thousand, seven hundred sixty".