378867456000 has 1440 divisors, whose sum is σ = 1562640599520. Its totient is φ = 91238400000.

The previous prime is 378867455969. The next prime is 378867456013. The reversal of 378867456000 is 654768873.

378867456000 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 6 + 74 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 2509055925 + ... + 2509056075.

It is an arithmetic number, because the mean of its divisors is an integer number (1085167083).

Almost surely, 2^378867456000 is an apocalyptic number.

378867456000 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 378867456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781320299760).

378867456000 is an abundant number, since it is smaller than the sum of its proper divisors (1183773143520).

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

378867456000 is a wasteful number, since it uses less digits than its factorization.

378867456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 378867456000 in words is "three hundred seventy-eight billion, eight hundred sixty-seven million, four hundred fifty-six thousand".