378746840160 has 288 divisors, whose sum is σ = 1452413446848. Its totient is φ = 89176412160.

The previous prime is 378746840149. The next prime is 378746840273. The reversal of 378746840160 is 61048647873.

378746840160 is a `hidden beast` number, since 3 + 7 + 87 + 468 + 40 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 378746840097 and 378746840106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9271 + ... + 870390.

It is an arithmetic number, because the mean of its divisors is an integer number (5043102246).

Almost surely, 2^378746840160 is an apocalyptic number.

378746840160 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 378746840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726206723424).

378746840160 is an abundant number, since it is smaller than the sum of its proper divisors (1073666606688).

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

378746840160 is a wasteful number, since it uses less digits than its factorization.

378746840160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879718 (or 879707 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 378746840160 in words is "three hundred seventy-eight billion, seven hundred forty-six million, eight hundred forty thousand, one hundred sixty".