378333970560 has 2688 divisors, whose sum is σ = 1814902891200. Its totient is φ = 74494328832.

The previous prime is 378333970519. The next prime is 378333970577. The reversal of 378333970560 is 65079333873.

378333970560 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 3 + 3 + 9 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 = 378333970497 and 378333970506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5646775647 + ... + 5646775713.

Almost surely, 2^378333970560 is an apocalyptic number.

378333970560 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 378333970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907451445600).

378333970560 is an abundant number, since it is smaller than the sum of its proper divisors (1436568920640).

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

378333970560 is a wasteful number, since it uses less digits than its factorization.

378333970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 378333970560 in words is "three hundred seventy-eight billion, three hundred thirty-three million, nine hundred seventy thousand, five hundred sixty".