378564097600 has 168 divisors, whose sum is σ = 1037751782760. Its totient is φ = 134957383680.

The previous prime is 378564097579. The next prime is 378564097601. The reversal of 378564097600 is 6790465873.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 288506488384 + 90057609216 = 537128^2 + 300096^2 .

It is not an unprimeable number, because it can be changed into a prime (378564097601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289404 + ... + 916996.

It is an arithmetic number, because the mean of its divisors is an integer number (6177093945).

Almost surely, 2^378564097600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378564097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518875891380).

378564097600 is an abundant number, since it is smaller than the sum of its proper divisors (659187685160).

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

378564097600 is a wasteful number, since it uses less digits than its factorization.

378564097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627657 (or 627642 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 378564097600 in words is "three hundred seventy-eight billion, five hundred sixty-four million, ninety-seven thousand, six hundred".