380773612800 has 1512 divisors, whose sum is σ = 1645542803520. Its totient is φ = 85399142400.

The previous prime is 380773612799. The next prime is 380773612819. The reversal of 380773612800 is 8216377083.

380773612800 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 7 + 361 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2906668735 + ... + 2906668865.

It is an arithmetic number, because the mean of its divisors is an integer number (1088321960).

Almost surely, 2^380773612800 is an apocalyptic number.

380773612800 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 380773612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822771401760).

380773612800 is an abundant number, since it is smaller than the sum of its proper divisors (1264769190720).

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

380773612800 is an equidigital number, since it uses as much as digits as its factorization.

380773612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

Adding to 380773612800 its reverse (8216377083), we get a palindrome (388989989883).

The spelling of 380773612800 in words is "three hundred eighty billion, seven hundred seventy-three million, six hundred twelve thousand, eight hundred".