378063277200 has 480 divisors, whose sum is σ = 1539272908800. Its totient is φ = 86334958080.

The previous prime is 378063277183. The next prime is 378063277271. The reversal of 378063277200 is 2772360873.

378063277200 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 632 + 7 + 7 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 132978979 + ... + 132981821.

It is an arithmetic number, because the mean of its divisors is an integer number (3206818560).

Almost surely, 2^378063277200 is an apocalyptic number.

378063277200 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 378063277200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769636454400).

378063277200 is an abundant number, since it is smaller than the sum of its proper divisors (1161209631600).

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

378063277200 is a wasteful number, since it uses less digits than its factorization.

378063277200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 378063277200 in words is "three hundred seventy-eight billion, sixty-three million, two hundred seventy-seven thousand, two hundred".