378846408960 has 432 divisors, whose sum is σ = 1439295975936. Its totient is φ = 95081693184.

The previous prime is 378846408947. The next prime is 378846408979. The reversal of 378846408960 is 69804648873.

378846408960 is a `hidden beast` number, since 3 + 7 + 88 + 464 + 0 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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, 5251857 + ... + 5323503.

It is an arithmetic number, because the mean of its divisors is an integer number (3331703648).

Almost surely, 2^378846408960 is an apocalyptic number.

378846408960 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 378846408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719647987968).

378846408960 is an abundant number, since it is smaller than the sum of its proper divisors (1060449566976).

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

378846408960 is an equidigital number, since it uses as much as digits as its factorization.

378846408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71700 (or 71674 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 378846408960 in words is "three hundred seventy-eight billion, eight hundred forty-six million, four hundred eight thousand, nine hundred sixty".