378683473996800 has 2376 divisors, whose sum is σ = 1715177782828224. Its totient is φ = 79261445652480.

The previous prime is 378683473996727. The next prime is 378683473996831. The reversal of 378683473996800 is 8699374386873.

378683473996800 is a `hidden beast` number, since 3 + 7 + 8 + 6 + 83 + 473 + 9 + 9 + 68 + 0 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 378683473996800.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7101131737 + ... + 7101185063.

It is an arithmetic number, because the mean of its divisors is an integer number (721876171224).

Almost surely, 2^{378683473996800} is an apocalyptic number.

378683473996800 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 378683473996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857588891414112).

378683473996800 is an abundant number, since it is smaller than the sum of its proper divisors (1336494308831424).

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

378683473996800 is a wasteful number, since it uses less digits than its factorization.

378683473996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53431 (or 53398 counting only the distinct ones).

The product of its (nonzero) digits is 7900913664, while the sum is 81.

The spelling of 378683473996800 in words is "three hundred seventy-eight trillion, six hundred eighty-three billion, four hundred seventy-three million, nine hundred ninety-six thousand, eight hundred".