378467575200 has 2160 divisors, whose sum is σ = 1689656855040. Its totient is φ = 81840844800.

The previous prime is 378467575183. The next prime is 378467575207. The reversal of 378467575200 is 2575764873.

It is a happy number.

378467575200 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 67 + 57 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is not an unprimeable number, because it can be changed into a prime (378467575207) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4790728761 + ... + 4790728839.

It is an arithmetic number, because the mean of its divisors is an integer number (782248544).

Almost surely, 2^378467575200 is an apocalyptic number.

378467575200 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 378467575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844828427520).

378467575200 is an abundant number, since it is smaller than the sum of its proper divisors (1311189279840).

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

378467575200 is a wasteful number, since it uses less digits than its factorization.

378467575200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 378467575200 in words is "three hundred seventy-eight billion, four hundred sixty-seven million, five hundred seventy-five thousand, two hundred".