378648396000 has 576 divisors, whose sum is σ = 1557502442496. Its totient is φ = 85325184000.

The previous prime is 378648395959. The next prime is 378648396013. The reversal of 378648396000 is 693846873.

378648396000 is a `hidden beast` number, since 3 + 78 + 6 + 483 + 96 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17881419 + ... + 17902581.

It is an arithmetic number, because the mean of its divisors is an integer number (2703997296).

Almost surely, 2^378648396000 is an apocalyptic number.

378648396000 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 378648396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778751221248).

378648396000 is an abundant number, since it is smaller than the sum of its proper divisors (1178854046496).

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

378648396000 is a wasteful number, since it uses less digits than its factorization.

378648396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21272 (or 21251 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 378648396000 in words is "three hundred seventy-eight billion, six hundred forty-eight million, three hundred ninety-six thousand".