380205323564800 has 108 divisors (see below), whose sum is σ = 956494921311496. Its totient is φ = 149588979609600.

The previous prime is 380205323564777. The next prime is 380205323564813. The reversal of 380205323564800 is 8465323502083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486552894 + ... + 487333693.

Almost surely, 2^{380205323564800} is an apocalyptic number.

It is an amenable number.

380205323564800 is an abundant number, since it is smaller than the sum of its proper divisors (576289597746696).

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

380205323564800 is an equidigital number, since it uses as much as digits as its factorization.

380205323564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973886674 (or 973886655 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 49.

The spelling of 380205323564800 in words is "three hundred eighty trillion, two hundred five billion, three hundred twenty-three million, five hundred sixty-four thousand, eight hundred".