378838146960 has 2520 divisors, whose sum is σ = 1827437590080. Its totient is φ = 71269466112.

The previous prime is 378838146959. The next prime is 378838146971. The reversal of 378838146960 is 69641838873.

378838146960 is a `hidden beast` number, since 3 + 7 + 88 + 38 + 1 + 469 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 (17) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 19938849831 + ... + 19938849849.

Almost surely, 2^378838146960 is an apocalyptic number.

378838146960 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 378838146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913718795040).

378838146960 is an abundant number, since it is smaller than the sum of its proper divisors (1448599443120).

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

378838146960 is a wasteful number, since it uses less digits than its factorization.

378838146960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 378838146960 in words is "three hundred seventy-eight billion, eight hundred thirty-eight million, one hundred forty-six thousand, nine hundred sixty".