378845812800 has 1890 divisors, whose sum is σ = 1759057324398. Its totient is φ = 79705866240.

The previous prime is 378845812783. The next prime is 378845812867. The reversal of 378845812800 is 8218548873.

378845812800 is a `hidden beast` number, since 37 + 8 + 8 + 4 + 581 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 258608863296 + 120236949504 = 508536^2 + 346752^2 .

It is a tau number, because it is divible by the number of its divisors (1890).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 1073217424 + ... + 1073217776.

Almost surely, 2^378845812800 is an apocalyptic number.

378845812800 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 378845812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879528662199).

378845812800 is an abundant number, since it is smaller than the sum of its proper divisors (1380211511598).

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

378845812800 is a wasteful number, since it uses less digits than its factorization.

378845812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 378845812800 in words is "three hundred seventy-eight billion, eight hundred forty-five million, eight hundred twelve thousand, eight hundred".