378627849600 has 2304 divisors, whose sum is σ = 1772391559680. Its totient is φ = 68567040000.

The previous prime is 378627849577. The next prime is 378627849601. The reversal of 378627849600 is 6948726873.

378627849600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378627849601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9234825580 + ... + 9234825620.

It is an arithmetic number, because the mean of its divisors is an integer number (769267170).

Almost surely, 2^378627849600 is an apocalyptic number.

378627849600 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 378627849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886195779840).

378627849600 is an abundant number, since it is smaller than the sum of its proper divisors (1393763710080).

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

378627849600 is a wasteful number, since it uses less digits than its factorization.

378627849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 378627849600 in words is "three hundred seventy-eight billion, six hundred twenty-seven million, eight hundred forty-nine thousand, six hundred".